posted by Emily on .
The measure of an interior angle of a regular polygon is 135 degrees. Find the number of sides in the polygon. This is what I tried:
180(x-2)=135 [Interior Angle Sum Theorem]
That can't be right though. Help?
Not sure about your formula.
Number of sides = 360/(180-interior angle)
Number of sides = 360/(180-135)
180(x-2) gives you the SUM of the interior angles, so each angle would be 180(x-2)/x
your equation would be
180(x-2)/x = 135
Sove it, you will get the answer DrRuss got.