SOLUTION: If the measure of each interior angle of an equiangular polygon is 168, how many sides does the polygon have? I don't know the formula, can you help me?

Question 382094: If the measure of each interior angle of an equiangular polygon is 168, how many sides does the polygon have?
I don't know the formula, can you help me?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
We can use the fact that the sum of the exterior angles is always 360.
If the interior angle is 168, then the exterior angle is 180 - 168, or 12. The 360 degrees is evenly distributed over all of the angles, so 360/12 = 30 sides.
The formula for the sum of the angles in an n-sided polygon (in degrees) is 180(n-2). To find the average measure of one angle, divide by n.
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