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

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on Polygons

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.