Question

The interior and the exterior angle of a regular
polygon are in the ratio 12:3, find the number of side of the polygon.​

Answer 1

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Asked on December 20, 2019 by

Krati Ilyas

The ratio between interior and exterior angle of a regular polygon is 1:4. Find the number of sides of the polygon.

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ANSWER

let the interior angle of the regular polygon be X.

therefore, the exterior angle is X/4.

Exterior angle + adjacent interior angle =180

0

4

X

+X=180

0

4

5X

=180

0

X=180

0

×

5

4

=144

0

the interior angle is 144

0

the exterior angle is 36

0

n=

exteriorangle

360

0

=

36

0

360

0

=10

The number of sides of a regular polygon is 10.