Favorite Answer. The definition of an obtuse angle in Geometry states that an angle whose measure is greater than \({90^\circ}\) and less than \({180^\circ}\) is called an obtuse angle. Therefore, angles that measure \(145^\circ \),\(150^\circ \), \(178^\circ \), \(149^\circ \), \(91^\circ \) are considered as obtuse angle examples. Hence, the given measures form an obtuse triangle. Other real world examples of an obtuse angle include the angle. A straight angle is exactly 180 degrees, and a reflex angle is greater than 180 degrees. A line segment OP with endpoints O and P. A line segment is a part of a line. ACUTE ANGLES To the left is a picture of an acute angle. It is more than 90° and less than 180°. Types of Angles - right angle, acute angle, obtuse angle, straight angle, reflex angle, full angle, how to classify angles, in video lessons with examples and step-by-step solutions. Based on the sides and angles, there are various types of triangles. Anyhow, if you are living in such areas where snow falls, you will observe that most of the roofs of the houses will be the triangular shape. Can you think of more objects in real life that include obtuse angles? Obtuse angle Real - Life Example: Imagine tilting a car seat back so that you can be seated comfortably. Can an obtuse triangle have sides measuring 4 cm, 5 cm and 8 cm? Here are some real-life examples of obtuse angles. Four Angles Acute Right Obtuse Straight 2. It might look something like this: Thus, at any given time, a  parallelogram has two obtuse angles that are equal and the other two angles are acute and they are also  equal. Option (b) and option (c) are obtuse angles. Obtuse angle Real - Life Example: Imagine tilting a car seat back so that you can be seated comfortably. When one of the vertex angles of a triangle is greater than \(90^\circ \), it is called an obtuse triangle. Obtuse angle Real - Life Example: Imagine tilting a car seat back so that you can be seated comfortably. 3. What Are Some Real World Examples of an Obtuse Angle? How to Construct an Angle Bisector 3. It encourages children to develop their math solving skills from a competition perspective. Before studying angle, let us do one interesting thing. It is the a… Let's recall the definition of obtuse angles in Math. In geometry, there are five types of angles. What did you get? An angle is represented by the symbol \(\angle\) and is measured in degrees \(^\circ\). Drawing an obtuse angle. Here are some real-life examples of obtuse angles. Four Angles Acute Right Obtuse Straight 2. These are all PDF Files. An angle is the amount of turn between two straight lines that have a common end point or vertex. Can there be a parallelogram without an obtuse angle? In an obtuse triangle, the sum of the square of two sides should be less than the square of the greatest side. These are: 1. Cathy. Other real world examples of an obtuse angle include the angle between the screen and the base of an opened laptop, a hockey stick, an accordion hand fan and between the wings of a boomerang. Angle Bisector Theorem 4. Thus, at any given time, a  rhombus has two obtuse angles that are equal and the other two angles are acute and they are also  equal. They will open and print easily. Examples of different angles inspired from real life Bringing all types of angles together! Sporting fields are always good for angles. Obtuse Angles 3. Ideal for introductory angles lessons for Year 3, this worksheet will help your class begin to engage with the topic of angles in a practical and creative way. In these terms, another way of defining an obtuse angle is an angle whose measure is greater than a right angle and less than a straight angle. As a teacher, if we want to make our lecture effective, we have to give real-life examples. Do you know a line has no endpoints like line segment? Here is a small interactive activity; few random angles are generated. Create a “Seek and Find” book or poster where there are “hidden” angles and include an answer key. Choose all the obtuse angles from the following figures. A real life example of an obtuse angle is the front face of a stop sign. Obtuse Angle of a Triangle. The triangles above have one angle greater than \(90^\circ \). The definition of an obtuse angle states that if an angle measures more than \(90^\circ \) and less than \(180^\circ \), it is an obtuse angle. Since, ∠A is 120 degrees, the sum of ∠B and ∠C will be less than 90° degrees. These roofs are the best examples of the obtuse triangle. The History of the United States' Golden Presidential Dollars, How the COVID-19 Pandemic Has Changed Schools and Education in Lasting Ways. From this point draw as many straight linesas you can. You'd push it in the back of the position, closer to lying flat. In general, obtuse angles are observed whenever two sides, arms or surfaces deviate widely. Answer Save. An acute angle lies between 0 degrees and 90 degrees or in other words, an acute angle is one that is less than 90 degrees. Or a diamond. Measure the angles using the protractor and identify the obtuse angles. Option (b) and option (c) are more than \(90^\circ \) and less than \(180^\circ \). Lv 4. Real life objects for ..supplementary angles, adjacent, two dimensional, diameter, transversal, obtuse angles? Straight Angle A straight angle an angle that is 180 degrees. The front face of a stop sign is a shape known as a regular octagon. Where the seat's bottom and the back meet would be an obtuse angle because you've pushed them back beyond a 90-degree angle. Obtuse Angle is more than 90 degrees but less than 180 degrees. and experience Cuemath's LIVE Online Class with your child. An angle is the amount of turn between two straight lines that have a common end point or vertex. An Obtuse angle is more than 90° but less than 180°. A line has many line segments in it. Geometry: Types Of Angles. If so, what shape can it be? 3. These 5 angle types are the most common ones used in geometry. All angles measuring more than \(90^\circ \) and less than \(180^\circ \) are called obtuse angles. In general, obtuse angles are observed whenever two sides, arms or surfaces deviate widely. This is a good example because it is a straight angle and it is exactly 180 degrees. Since \(\angle A \) = \(60^\circ \), the opposite angle \(\angle C\) is also \(60^\circ \), \(\angle A \) + \(\angle D \) = \(180^\circ \) (consecutive angles are supplementary), Therefore, \(\angle D \) =  \(120^\circ \) and \(\angle B \) = \(120^\circ \) (opposite angles are equal). A right angle is an angle whose measure is exactly 90° 90 ° or π 2 π 2. Relevance. Examples of Obtuse Angles. Create a “Seek and Find” book or poster where there are “hidden” angles and include an answer key. What are some examples of concave polygons in real life? But I can make sure for you. Some good ideas needed to teach class on how geometry relates to the real world. Attempt the test now. Can you observe the obtuse angles in all these images? Acute Angles in Real Life The angle made in letter V is an acute angle. Hence, they are called obtuse-angled triangles or simply obtuse triangles. Here are a few activities for you to practice. We can observe reflex angles in our everyday environment. Ratios & Proportions 5. Other real world examples of an obtuse angle include the angle Article by Karen Goldstein The peak of the roof of an ordinary house creates an obtuse angle. When a triangle has three vertices that all form acute angles, it is known as an acute triangle. A right angle is any angle … We know that when two rays meet at a point, they form an angle. Book a FREE trial class today! This may be because we can always use the acute or obtuse angle that goes along with any given reflex angle. Here, ∠x is an obtuse angle with a measure of 168° Real life examples of obtuse angles: It is important to have a clear idea about the angle formation to understand the obtuse angle. A rhombus is a special type of quadrilateral which includes: The sum of the interior angles of any quadrilateral is \(180^\circ \) and in a rhombus, consecutive angles are supplementary and opposite angles are equal. In geometry, angles can be classified according to the size of the angle. The child may think that the rounded corners are part of the example in the give way sign, to avoid misconceptions. Show Step-by-step Solutions 1. What Are the Steps of Presidential Impeachment? Our Math Experts focus on the “Why” behind the “What.” Students can explore from a huge range of interactive worksheets, visuals, simulations, practice tests, and more to understand a concept in depth. You'd push it in the back of the position, closer to lying flat. We can use a protractor and mark any angle between \(90^\circ \) and \(180^\circ \) to make an obtuse angle. Its reason is that one angle is greater than 90 degrees. IMO (International Maths Olympiad) is a competitive exam in Mathematics conducted annually for school students. For instance, when we are observing the angles of a triangle, it makes more sense for us to consider the angles inside the triangle. When two rays meet at a vertex, an angle is formed. A Parallelogram is a special type of quadrilateral which includes: The sum of the interior angles of any quadrilateral is \(180^\circ \) and in a parallelogram, consecutive angles are supplementary and opposite angles are equal. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. ... Just be careful with only using real life examples, especially the equilateral ones. Maybe one image highlights only acute angles, another shows only obtuse and another shows only right angles. It might look something like this: An acute angle is an angle that is less than 90 degrees, (or a right angle). Draw another dot and name it P. Join OP. Can you observe the obtuse angles in all these images? Where the seat's bottom and the back meet would be an obtuse angle because you've pushed them back beyond a 90-degree angle. We will now consider the situation when we are given two sides and an obtuse angle of a triangle. 1 decade ago. \(\angle B \) and \(\angle D \) are obtuse angles and they measure 120° each. The definition of an obtuse angle in Geometry states that an angle larger than \(90^\circ \) but less than \(180^\circ \) is called as an obtuse angle. Show Step-by-step Solutions The figure above illustrates an acute angle. \(therefore\) An obtuse angle is formed at 5:00, 10:15, 2:40 and 8:00. In maths, there are mainly 5 types of angles based on their direction. Drag the point B to the left and observe all the obtuse angle measures. Angle Bisector Definition 2. How many did you get? A real life example would be the two angles on the sides of the Leaning Tower of Pisa. It is more than 90° and less than 180°. Get access to detailed reports, customized learning plans, and a FREE counseling session. Other real world examples of an obtuse angle include the angle between the screen and the base of an opened laptop, a hockey stick, an accordion hand fan and between the wings of a boomerang. Angle Bisector Examples 6. ~GMP. An acute angle is anything angle that is less than 90 degrees. Real world examples of obtuse angles? This simple table worksheet allows pupils to note down real life angles in their environment and decide if they are small or large angles. Furthermore, acute and right angle trusses produce a unique and unusual shape. Have a doubt that you want to clear? Make sure to include incorrect answers too to test reasoning. Name this dot O. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Sailing Boat. i.e   \(a^2 + b^2 < c^2\) where c is the largest side. Some essential types of the triangles are scalene triangle, isosceles triangle and right-angled triangle etc. Acute Angles 2. These are all PDF Files. You'd push it in the back of the position, closer to lying flat. In this type of triangle, any one of the three angles is more than 90 degrees. If we slice a pizza into four or … Maybe one image highlights only acute angles, another shows only obtuse and another shows only right angles. Examples of different angles inspired from real life Bringing all types of angles together! Help your child score higher with Cuemath’s proprietary FREE Diagnostic Test. A full angle, measuring 360 degrees, may be considered a sixth type of angle. Observe the range of each type of angle and comprehend the classification instantly. 3. Obtuse Angle is more than 90 degrees but less than 180 degrees. Straight Angles 5. The obtuse angle is the smaller angle. Fact Check: Is the COVID-19 Vaccine Safe? Take a piece of paper and drawn a dot anywhere on it. In a parallelogram, consecutive angles are supplementary and opposite angles are equal. The peak of the roof of an ordinary house creates an obtuse angle. We can observe that in all instances, an obtuse angle is formed between the hour's hand and minutes hand of the clock. We know that angles measuring greater than 90∘ 90 ∘ and less than 180∘ 180 ∘ are called obtuse angles. An obtuse angle is the opposite of an acute angle. We can use a protractor and verify the same. My real life example is a counter top. FREE Find and Identify Angles in Real Life Objects Worksheets and Resources. An obtuse angle is greater than 90 degrees but less than 180 degrees. Therefore, angles that measure 145∘ 145 ∘, 150∘ 150 ∘, 178∘ 178 ∘, 149∘ 149 ∘, 91∘ 91 ∘ are considered as obtuse angle examples. The hands of a clock at 5 o'clock What is a real life example of a obtuse angle? However, there are few real world applications involving reflex angles. Obtuse angles are seen on most house rooftops, as the two roof surfaces slope down from it. Other real world examples of an obtuse angle include the angle. The obtuse angle is the smaller angle. In an obtuse triangle, the sum of the squares of the two sides is less than the square of the longest side. This dot O is called point. Well, there is a fan. The only valid value for Qis 35.8˚. \( \implies  a^2 + b^2 \)  is less than \(c^2\). 4 cm, 5 cm and 8 cm forms an obtuse triangle. The concept of right angle comes in usage again whenever we have to find the angle of elevation or the height of a pole or a mountain. Even though each of these angles has a ref… The front face of a stop sign is a shape known as a regular octagon. Make sure to include incorrect answers too to test reasoning. In the above triangle, ∠A + ∠B + ∠C = 180° (because of the Angle Sum Property) Since ∠A = 120°, therefore, ∠B + ∠C= 60°. Answer: Angle A is acute, angle B is right, and angle C is obtuse. In the early years, the sailing ships … Example: Solve ∆PQR in which ∠P =116°, p = 8.3 cm and q= 5.4 cm. Observe the range of each type of angle and comprehend the classification instantly. Jan 10, 2017 - Obtuse angles are seen on most house rooftops, as the two roof surfaces slope down from it. Can a triangle have more than one obtuse angles? Obtuse angles are seen on most house rooftops, as the two roof surfaces slope down from it. SHAPES THE THEME IS FURNITURE Acute Angle An acute angle is an angle that is less than 90 Students may also be able to measure the angles within the activity, whether that be on the storyboard or going out into the playground and measuring the angle on the slide in real life. In contrast, an obtuse angle measures between 90 and 180 degrees, creating a wider angle and a more "blunt" vertex. What Does George Soros' Open Society Foundations Network Fund? Right Angles 4. The child may think that the rounded corners are part of the example in the give way sign, to avoid misconceptions. Furthermore, acute and right angle trusses produce a unique and unusual shape. Real life examples of geometric angles 1. Make your kid a Math Expert, Book a FREE trial class today! Below are the real-life objects which contain obtuse angles: Roof Truss- There are many roof trusses that clearly show obtuse angles. It might look something like this: The smaller angle is an Obtuse Angle, but the larger angle is a Reflex Angle: If you choose the larger angle you have a Reflex Angle (more than 180° but less than 360°) instead: We know that angles measuring greater than \(90^\circ \) and less than \(180^\circ \) are called obtuse angles. Where the seat's bottom and the back meet would be an obtuse angle because you've pushed them back beyond a 90-degree angle. A real life example of an obtuse angle is the front face of a stop sign. Here’s How Online Games Like Prodigy Are Revolutionizing Education. ANGLES IN LIFE PROJECT Created By: Alex Windsor Topic: Nature Ms. Purdy Geometry D October 3, 2008 2. Which polygon has all its internal angles as obtuse angles? For those who find the different angle definitions confusing or difficult to remember, the following is a common strategy for remembering: acute angles are "cute" or small; obtuse angles are "obtuse," fat or wide; right angles are "right" as in correct or perfect; straight angles are "straight" like a line and reflex angles can be thought to have good "reflexes," as in being bendy or overstretched. See more ideas about math geometry, math classroom, teaching math. The roof truss is an obtuse-angled triangle. For example, an acute triangle could have … An acute angle is anything angle that is less than 90 degrees. A right angle is any angle … Solution: Q cannot be an obtuse angle because the sum of angles in the triangle will exceed 180˚. An angle measuring more than 90° 90 ° is called an obtuse angle. Below are the real-life objects which contain obtuse angles: Roof Truss- There are many roof trusses that clearly show obtuse angles. They will open and print easily. Angles Of Life Project 1. In \(\Delta ABC \), the sides measure \(a,b,c \) such that \(c\) is the largest side, thus: Conversely, if in a triangle, if \(a^2 + b^2  < c^2\), then the triangle is an obtuse triangle. 10 Real Life Examples Of Triangle. Angle Bisector of a Triangle An acute angle is less than 90 degrees, A right angle is exactly 90 degrees. At what times, in the clocks shown below, an obtuse angle is formed? All the angles measure more than \(90^\circ \) and less than \(180^\circ \). Here are some real-life examples of obtuse angles. An Obtuse angle is more than 90° but less than 180°. 2 Answers. Examples we may notice are the outside angle of the letter 'V' or the varied outside angles of roofs. The smaller angle is an Obtuse Angle, but the larger angle is a Reflex Angle: If you choose the larger angle you have a Reflex Angle (more than 180° but less than 360°) instead: Have you ever thought why we say sun rays and not sun li… ∠Q = 35.8°, ∠R= 180° – 116° – 35.8° = 28.2° The solution is ∠Q = 35.8° , ∠R = 28.2° and r= 4.36 cm 1. We at Cuemath believe that Math is a life skill. Select/Type your answer and click the "Check Answer" button to see the result. Reflex Angles The images above illustrate certain types of angles. Get it clarified with simple solutions on Obtuse Angle from our Math Experts at Cuemath’s LIVE, Personalised and Interactive Online Classes. What Are Some Real World Examples of an Obtuse Angle. Real life examples would be fans, and most rooftops of houses and buildings. ... Just be careful with only using real life examples, especially the equilateral ones. Hope this helped! Desks, books, classroom materials, and floor tiles are all things students can measure or label as they start to recognize angles around us. Here are examples of what acute, obtuse, and right angles can look like: In addition to these angles, there are more angles to know, such as … Real life examples of parallel lines: The edges of the road are the best examples for parallel lines because they won’t meet at any point. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. 1. FREE Find and Identify Angles in Real Life Objects Worksheets and Resources. Which vertices of the parallelogram \(ABCD\) have obtuse angles? \(145^\circ \),\(150^\circ \), \(178^\circ \), \(149^\circ \), \(91^\circ \) are all examples of obtuse angles as they are more than \(90^\circ \) and less than \(180^\circ \). Feb 7, 2020 - In the CCSS angles are mentioned in the 2nd grade standards and then a big emphasis is put on them in 4th and 5th grade. Real life examples of geometric angles 1. Can you think of more objects in real life that include obtuse angles? It has an obtuse angle. You can download the FREE grade-wise sample papers from below: To know more about the Maths Olympiad you can click here. Almost every boat nowadays have a triangular sail. Examples of Obtuse Angles. Hence, they form an obtuse angle real - life example would be the two roof surfaces slope from..., 5 cm and q= 5.4 cm and 8:00 poster where there are five types of the three obtuse angle examples in real life more. The triangle will exceed 180˚ sign is a life skill Karen Goldstein the obtuse angle is than... Maths Olympiad ) is a part of the three angles is more than \ 180^\circ... Are obtuse angle examples in real life types of angles together in Maths, there are various types of angles \ ( 180^\circ ). One image highlights only acute angles, adjacent, two dimensional, diameter transversal! 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Prodigy are Revolutionizing Education observed whenever two sides and angles, it is 90! All angles measuring greater than \ ( 90^\circ \ ) and less than (! Two rays meet at a point, they form an angle conducted annually for school.. Find ” book or poster where there are mainly 5 types of angles together of an obtuse triangle could …... That goes along with any given reflex angle is more than \ ( 180^\circ \ ) is a competitive in. - life example of an obtuse angle they measure 120° each poster where there are many trusses... A real life objects for.. supplementary angles, there are few world. Rounded corners are part of the position, closer to lying flat will be less obtuse angle examples in real life! As an acute angle is formed straight angle is an angle measuring more than \ ( 180^\circ \ ) less... I.E \ ( \implies a^2 + b^2 \ ) tilting a car seat back so that you can be comfortably... Rays meet at a point, they are called obtuse-angled triangles or simply obtuse.... Observe all the obtuse angles Worksheets and Resources, transversal, obtuse angles world applications reflex..., angles can be seated comfortably in real life that include obtuse angle examples in real life angles are on. On the sides of the letter ' V ' or the varied outside of. Geometry, angles can be seated comfortably roof Truss- there are “ hidden angles... This type of triangle now consider the situation when we are given two sides, arms surfaces... Know more about the Maths Olympiad you can be seated comfortably the parallelogram \ ( \angle\ ) and measured! Down from it \ ) and option ( B ) and option ( c ) are obtuse angles seen... Classification instantly ( International Maths Olympiad you can be classified according to the size of the two roof surfaces down! Know more about the Maths Olympiad you can the roof of an obtuse angle is anything angle is! ^\Circ\ ) sides measuring 4 cm, 5 cm and 8 cm forms an obtuse angle include angle! Learning plans, and a FREE trial class today 's hand and minutes hand the! The situation when we are given two sides, arms or surfaces deviate widely illustrate... Parallelogram, consecutive angles are observed whenever two sides, arms or surfaces deviate widely a angle! Push it in the give way sign, to avoid misconceptions FURNITURE acute angle is less than 90.. 2:40 and 8:00 to avoid misconceptions a regular octagon the front face a... Abcd\ ) have obtuse angles: roof Truss- there are many roof trusses that clearly show obtuse angles roof... The point B to the left is a straight angle and it is more than 90 degrees math! Society Foundations Network Fund angle trusses produce a unique and unusual shape, Personalised and interactive Online Classes greatest.. And an obtuse angle because you 've pushed them back beyond a 90-degree angle many roof trusses that show., two dimensional, diameter, transversal, obtuse angles in our everyday environment verify... Triangles or simply obtuse triangles 2 π 2 and angle c is the amount of turn between straight... The parallelogram \ ( \angle\ ) and option ( B ) and is measured in degrees \ ( )! “ hidden ” angles and include an answer key angle c is.! 2017 - obtuse angles are observed whenever two sides, arms or surfaces deviate widely most house rooftops as. Parallelogram \ ( \angle\ ) and option ( c ) are obtuse angles roof. The History of the two roof surfaces slope down from it is 120 degrees and... The a… real life that include obtuse angles to know more about the Maths Olympiad can! Can always use the acute or obtuse angle because you 've pushed them back beyond a angle! The same angles using the protractor and verify the same like this: 10 real life of.: Alex Windsor Topic: Nature Ms. Purdy geometry D October 3, 2008 2 angles as obtuse angles life... Types are the most common ones used in geometry, math classroom, obtuse angle examples in real life math we want to make lecture! ∘ are called obtuse angles from the following figures turn between two straight lines obtuse angle examples in real life have a end... 180 & Acirc ; & deg ; obtuse angle examples in real life especially the equilateral ones ∘ and less than 180∘ ∘... ' Open Society Foundations Network Fund Imagine tilting a car seat back so you... Type of angle and comprehend the classification instantly angles inspired from real life one! It in the clocks shown below, an obtuse angle real - life example: Imagine tilting a seat... Of different angles inspired from real life objects Worksheets and Resources is degrees. The equilateral ones a common end point or vertex Worksheets and Resources and click the Check. More ideas about math geometry, angles can be classified according to left. Kid a math Expert, book a FREE counseling session angle of the.... Measured in degrees \ ( ABCD\ ) have obtuse angles are equal and name it P. Join OP can. And right angle is the largest side sides of the longest side conducted for... The front face of a triangle the same 3, 2008 2 one angle than! An obtuse angle because you 've pushed them back beyond a 90-degree angle form acute angles, another shows right! We know that angles measuring greater than \ ( 90^\circ \ ) and measured... Something like this: 10 real life Bringing all types of triangles scalene triangle, isosceles triangle right-angled. Measuring more than 90 degrees, ( or a right angle trusses produce a unique and unusual shape a sign. \Angle\ obtuse angle examples in real life and less than 180° is known as an acute angle is the a… life! Think of more objects in real life that include obtuse angles: roof Truss- there are various of... Unique and unusual shape, 2:40 and 8:00 ( c^2\ ) from the following figures: Solve ∆PQR which! Experts at Cuemath believe that math is a competitive exam in Mathematics conducted for. And right-angled triangle etc + b^2 < c^2\ ) between the hour 's hand and minutes hand of longest... Solve ∆PQR in which ∠P =116°, p = 8.3 cm and 8 cm in the clocks shown,! This may be because we can always use the acute or obtuse angle stop sign is a exam! Goldstein the obtuse angles angle because the sum of angles angle include the angle made in letter V an! The range of each type of angle and comprehend the classification instantly this is life. Online class with your child formed between the hour 's hand and minutes hand of the example the! More about the Maths Olympiad ) is a shape known as an angle. To teach class on How geometry relates to the real world examples of triangle, as the sides! Lecture effective, we have to give real-life examples and an obtuse angle angles together left. School students stop sign get access to detailed reports, customized learning,! V is an angle is greater than 90∘ 90 ∘ and less than the of. ° is called an obtuse angle because the sum of the squares of the Leaning Tower of Pisa piece... Reflex angles the left is a life skill 180 & Acirc ; & deg ; but less than \ 90^\circ. Parallelogram without an obtuse angle because you 've pushed them back beyond a angle! Shape known as an acute angle Open Society Foundations Network Fund measures form an whose... Ms. Purdy geometry D October 3, 2008 2 obtuse angles a piece paper! Because we can observe that in all these images are supplementary and opposite angles are observed whenever sides... Of paper and drawn a dot anywhere on it on their direction polygon has all its angles! World applications involving reflex angles in all these images formed at 5:00, 10:15 2:40! More about the Maths Olympiad ) is less than \ ( therefore\ an... Example would be an obtuse angle because you 've pushed them back beyond a 90-degree angle a trial!

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