Question 54
Exterior angle of a regular polygon is 72. What would be the sum of its interior angles ?
Solution
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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