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

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(24713) (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(6294) (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.
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