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

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mason m Share
Jan 17, 2016

Answer:

#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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