SOLUTION: How many sides does a regular polygon have if its interior angle measures 120 degrees?
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Question 153393: How many sides does a regular polygon have if its interior angle measures 120 degrees?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The measure of an interior angle of a regular polygon of n sides is given by:
In this problem, the interior angle is 120 degrees, so...
Simplify and solve for n. Multiply both sides by n.
Expand the left side.
Subtract 120n from both sides.
Now add 360 to both sides.
Finally, divide both sides by 60.
The regular polygon has 6 sides, and this is called a hexagon.
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