SOLUTION: interior andle measure of a regular polygon is given. Find the number of sides of the polygon. 168 degrees How do I find this?

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Question 15387: interior andle measure of a regular polygon is given. Find the number of sides of the polygon.
168 degrees
How do I find this?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the formula for the measure of an interior angle, A, of a regular polygon of n sides:
A+=+%28%28n+-+2%29180%29%2Fn
168+=+%28%28n+-+2%29180%29%2Fn Multiply both sides by n.
168n+=+%28n+-+2%29180 Simplify the right sides.
168n+=+180n+-+360 Add 360 to both sides.
168n+%2B+360+=+180n Subtract 168n from both sides.
360+=+12n Divide both sides by 12.
30+=+n
The regular polygon has 30 sides.