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Question

Find the measures of each interior angles of a regular polygon having 15 sides

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Solution

In a regular polygon, all sides are of same size and measure of all interior angles are the same.
The sum of interior angles of polygon of 15 sides is :
(n2)×180o where n is the number of sides of polygon
(152)×180o=1440o here n=15

Each interior angle =2340/15=156o

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