Polygon Angles
Read this topicExplanations 7
- The sum of the three angles in a triangle is 180 degrees. You can find the proof anywhere, but let's go through it here: Draw line ECD going through C, parallel to AB. Then angl…
By Vincent Huang, Cassie Taylor, Victor Wang
- A regular polygon is a polygon that has all equal angles and all equal sides. They have many useful properties. A regular hexagon is shown below: Notice that the center, O, divi…
By Vincent Huang, Zi Song Yeoh, Cassie Taylor, Victor Wang, Alex Federspiel, Gabi Slizewska
- An exterior angle is the angle between one side of a polygon and the extension of an adjacent side. You can see in the diagram below that all of the exterior angles have been ma…
By Jett Wang, Victor Wang, Cassie Taylor
- There are several ways to think about the sum of interior angles in a regular polygon. We can use any of the following: Exterior angles Diagonals Triangles First, let us see how…
By Niraek Jain-Sharma
- Theorem. The sum of the interior angles of an nnn-sided polygon is 180∘⋅(n−2)180^\circ \cdot \left( n - 2 \right)180∘⋅(n−2). Proof 1. Pick a point on the polygon and draw every …
By Ahaan Rungta
- Since n=10n=10n=10 in the formula, we have 180∘⋅(10−2)=1440∘180^\circ \cdot \left( 10 - 2 \right) = 1440^\circ180∘⋅(10−2)=1440∘. Note that the problem statement implies that 180…
By Ahaan Rungta, Expii Team
- Since you know the sum of the interior angles in a polygon, you can find the measure of one interior angle of a regular polygon by dividing the sum by the amount of edges. So, h…
By Freya Edholm