Question 54

Exterior angle of a regular polygon is 72. What would be the sum of its interior angles ?

Solution

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The interior angle of the polygon = 180 - 72 = 108 

Let there be x sides in the polygon. 

108 x = (2x - 4)* 90

So, x = 5 (pentagon)

Sum of the interior angles = 5 x 108 = 540

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