SOLUTION: In a regular polygon, the measure of each angle is 144 degree. How many sides does the polygon have?

SOLUTION: In a regular polygon, the measure of each angle is 144 degree. How many sides does the polygon have?

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Question 148008: In a regular polygon, the measure of each angle is 144 degree. How many sides does the polygon have?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
In a regular polygon of n sides, the measure of each of the (equal) interior angles is given by:
Substitute and solve for n.
Multiply both sides by n and simplify.
Add 360 to both sides and subtract 144n from both sides.
Divide both sides by 36.
A decagon.
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