SOLUTION: The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygons have.

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Question 1134602: The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygons have.
Found 3 solutions by MathLover1, mathsolverplus, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.202991.html

Answer by mathsolverplus(88) About Me  (Show Source):
You can put this solution on YOUR website!
Measure of one interior angle = %28n-2%29%28180%29%2Fn
Measure one exterior angle = 360%2Fn
Equation can be set up as:
%28n-2%29%28180%29%2Fn=8%28360%2Fn%29
180n-360+=+8%28360%29
180n=9%28360%29
n+=+18


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Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
It can be solved simpler.

See the link in the @MathLover1 post.