# Each exterior angle of a regular polygon is 18 degrees. How many sides does the polygon have?

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#### Explanation

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#### Explanation:

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mason m Share
Jan 17, 2016

$20$

#### Explanation:

For a regular polygon with $n$ sides, the exterior angle of any side is equal to

"exterior angle"=(360˚)/n

Thus, in this scenario,

18˚=(360˚)/n

Solve for $n$, the number of sides in the polygon.

n(18˚)=360˚

n=(360˚)/(18˚)=20

The polygon has $20$ sides.

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