SOLUTION: Hi, can you please help me out on this? I know interior angles = (n-2)X(180) but for some reason I can't figure this out. And each interior angle is (n-2)X(180) divided by "n."

Algebra ->  Angles -> SOLUTION: Hi, can you please help me out on this? I know interior angles = (n-2)X(180) but for some reason I can't figure this out. And each interior angle is (n-2)X(180) divided by "n."       Log On


   

Question 841257: Hi, can you please help me out on this? I know interior angles = (n-2)X(180) but for some reason I can't figure this out. And each interior angle is (n-2)X(180) divided by "n."
If the measure of each interior angle of a regular polygon is 176, find the number of sides in the polygon.
Thanks a lot! Much appreciated!
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%28n-2%29%2A%28180%29%2Fn%22%22=%22%22176

Multiply both sides by n

%28n-2%29%2A180%22%22=%22%22176n

180%28n-2%29%22%22=%22%22176n

180n-360%22%22=%22%22176n

4n%22%22=%22%22360

4n%2F4%22%22=%22%22360%2F4

n%22%22=%22%2290

It has 90 sides.  (It would look just about like a circle.

Edwin