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Solution:
1) Find the measure of angle
2) From that, find the measure of one angle
3) Multiply that by
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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
º <-- the measure of each angle
2.
Find the measure of one angle
Interior and exterior angles are , so the exterior angles are each º
3.
Finding the sum of them all:
There are eight of these angles, so their sum is
º
Answer:
The sum of the measures of the angles of a regular octagon is º.
