SOLUTION: what is the sum of the exterior angles of a octogon

Question 945903: what is the sum of the exterior angles of a octogon
Found 2 solutions by MathLover1, richard1234:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Solution:
1) Find the measure of angle
2) From that, find the measure of one angle
3) Multiply that by
--------------------------------------...
1.
Find the measure of one interior angle
By memorization, the formula for the measure of an interior angle in a regular polygon of sides is

In an octagon, , so the formula is

� <-- the measure of each angle
2.
Find the measure of one angle
Interior and exterior angles are , so the exterior angles are each
�

3.
Finding the sum of them all:
There are eight of these angles, so their sum is
�

Answer:
The sum of the measures of the angles of a regular octagon is �.

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
In general, the sum of the exterior angles of any convex polygon is .
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