The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the drawing. Assume that you know that the measure of each interior angle of a regular polygon is

a) Express the measure of each exterior angle as the supplement of the interior angle. b) Simplify the expression in part (a) to show that each exterior angle has a measure of 
.
a)
To find:
The measure of each exterior angle as supplement of the interior angle.
Given:
The following figure shows the given diagram.
The measure of each interior angle of a regular polygon is
Approach:
Calculation:
The measure of each interior angle of a regular polygon is
In the given figure,
b)
To simplify:
The expression in part (a) to show that each exterior angle has a measure of
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