1) If the sum of interior angles of a polygon is 3060 find the sum of its exterior angles.
2) How many sides are there in a regular polygon if each exterior angle measures 165 ?
1. Sum of exterior angles of a polygon having n sides = 360º
2.
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Let the number of sides of the regular polygon be n.
∴ Measure of each exterior angle of the regular polygon =
Given, Measure of each exterior angle of the regular polygon = 165º
But, the number of sides can not be decimals.