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Q.

The interior angle of a regular polygon is 144°. Find the interior angle of a polygon, which has double the number of sides as the first polygon. 

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a

180° 

b

162° 

c

90° 

d

362° 

answer is B.

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Detailed Solution

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Let the number of sides of the first polygon = n

n=360°180°- Interior angle=360°180°-144°=10

The number of sides of second polygon =20

Interior angle of second polygon = (2n-4)90°n

=(2×20-4)×90°20

=162°

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The interior angle of a regular polygon is 144°. Find the interior angle of a polygon, which has double the number of sides as the first polygon.