The exterior angle of the regular polygon is: 5°
Each interior angle of a regular polygon = (n - 2)180/n
Given:
interior angle = 175°
Thus:
175 = (n - 2)180/n
175n = 180n - 360
175n - 180n = -360
-5n = -360
n = 72
Thus,
Measure of one exterior angle = 360/72 = 5°
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