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A graph artist was painting a logo in the shape of a regular polygon. She measured one of the exterior angle to be 45 degrees. How many sides does this polygon has? What is the name of such polygon?

User Ali Salehi
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1 Answer

20 votes
20 votes

We are given a polygon

with exterior angle= 45

sides=?

since the polygon exterior angle is 45

the interior angle is


180-45=135

the only polygon with inner angles equals to 135 is a octagon

other way to find the octagon is as we know that all the exterior angles sum to 360

then


(360)/(45)
(360)/(45)=8

A graph artist was painting a logo in the shape of a regular polygon. She measured-example-1
User Dzejms
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