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Question

The ratio of exterior angle to interior angle of a regular polygon is 1:14 respectively. Find the number of sides of the polygon

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Solution

Ratio of exterior angle to interior angle is 1:14
Let the angles be x,14x
Sum of 2 angles =180 ( they form a straight line )
x+14x=18015x=180x=12
Each exterior angle is 12
Sum of exterior angles=360
No. of sides=36012=30

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