SOLUTION: How do I solve the equation to find out how many sides a regular polygon has if the interior angle is 144 degrees?
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Question 224560: How do I solve the equation to find out how many sides a regular polygon has if the interior angle is 144 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:
Substitute
Multiply both sides by n.
Simplify the right side.
Add 360 to both sides.
Subtract 144n from both sides.
Divide both sides by 36.
The number of side is 10. This is called a "decagon"
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