Angles of a polygon

The  exercise appears under the Geometry Math Mission. This exercise practices the angle sum formulas for triangles and more general polygons.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the sum of the interior angles: This problem has a polygon pictured. The student is asked to find the sum of all of the interior angles of the given polygon.Aoap1.png
 * 2) Find the sum of the exterior angles: This problem has a polygon pictured. The student is asked to find the sum of all of the exterior angles of the given polygon.Aoap2.png

Strategies
Knowledge of the polygon angle sum formulas are encouraged to ensure success on this exercise. However, only the triangle sum information is necessary.
 * 1) The only necessary fact is that the sum of the angles in a triangle is 180, because a polygon can be sliced into several triangles.
 * 2) In general, the sum of the interior angles in an n-gon is $$(n-2)\times180$$.
 * 3) The sum of the exterior angles is just 360, every time, no matter what.

Real-life Applications

 * 1) Problems involving the angles inside polygons are very common on standardized tests, such as the SAT, ACT, ASVAB and GRE.