SOLUTION: if the measure of each exterior angle of a regular polygon is 18 degrees what is the measure of each interior angle of the polygon? show work please.

Question 842340: if the measure of each exterior angle of a regular polygon is 18 degrees what is the measure of each interior angle of the polygon? show work please.
Answer by 2897696(96) (Show Source): You can put this solution on YOUR website!
extend the lines of the sides of your polygon out, you should find that each side is a straight line. a straight line = 180 degrees. if you are finding the angle measure of the interior angle, then its 180- 18
answer is 162 degrees.
x degrees ........./18 degrees
-----x degrees/18 degrees----
<<<<>>>
180-18=162
answer 162 degrees:
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