# SOLUTION: An interior angle of a regular convex polygon measures 144 degress how many sides does the polygon have?

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 Question 284065: An interior angle of a regular convex polygon measures 144 degress how many sides does the polygon have?Found 2 solutions by solver91311, Earlsdon:Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website! The measure of an interior angle of a regular convex polygon can be determined by the following formula: Doing a little algebra: You were given an IA of 144 degrees, so do the math ... so to speak. John Answer by Earlsdon(6291)   (Show Source): You can put this solution on YOUR website!The measure of an interior angle (A) of a regular polygon of n sides is given by: To find n, substitute A = 144 and solve. Multiply both sides by n and simplify the right side. Subtract 144n from both sides. Add 360 to both sides. Finally, divide both sides by 36. The regular polygon has 10 sides.