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Question

Each interior angle of a regular polygon is 144.

The measure of each interior angle of a regular polygon which has double the number of sides as the first polygon is


A

150

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B

152

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C

160

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D

162

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Solution

The correct option is D

162


Exterior angle (e)
=180interior angle ……. (Polygon is regular)
e=180144
e=36

Number of sides (n)
=360Exterior Angle

=36036=10

The number of sides of the new polygon = 2n = 20
Exterior angle (e)
=360number of sides
=36020=18

Interior Angle
=180Exterior Angle
=18018
=162


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