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How many sides does a regular polygon ha...

How many sides does a regular polygon have if the measure of an exterior angle is `24^@`?

A

`15`

B

`16`

C

`17`

D

`18`

Text Solution

Verified by Experts

The correct Answer is:
A

Given the exterior angle = `24^0`
Thus, the total number of sides are
(no. of sides)**(measure of exterior angle) =`360^0`
(no. of sides) = `360^0/24^0`
Thus, the regular polygon has `15` sides.
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