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Question

If each exterior angle of a regular polygon measures 36, then it has ___ sides.


A

9

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B

10

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C

11

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D

12

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Solution

The correct option is B

10


Given, exterior angle = 36.

Sum of exterior angles in a polygon = 360

Since the polygon is regular all its sides and angles will be equal.

n × exterior angle = 360 (where, n is the number of sides in the polygon)

n=360exterior angle

=36036

= 10

Number of sides of a regular polygon having exterior angle 36 is 10.


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