Question 338826: A regular polygon has an interior angle of 170 degrees. how many sides does the polygone have? Found 2 solutions by Earlsdon, Alan3354:Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Th measure of an interior angle (a) of a regular polygon of n sides is given by: Set this equal to 170 and solve for n. Multiply both sides by n. Simplify the right side. Subtract 170n from both sides. Add 360 to both sides. Finally, divide both sides by 10.
The regular polygon has 36 sides.
You can put this solution on YOUR website! That makes the exterior angle 10º (180 - 170).
The sum of exterior angles for ALL polygons is 360
360/10 = 36 sides
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