math
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(x2)=135 [Interior Angle Sum Theorem]
x2=.75
x=2.75
That can't be right though. Help?
Not sure about your formula.
Number of sides = 360/(180interior angle)
so
Number of sides = 360/(180135)
= 360/45
= 8
180(x2) gives you the SUM of the interior angles, so each angle would be 180(x2)/x
your equation would be
180(x2)/x = 135
Sove it, you will get the answer DrRuss got.

180°360°/n=108°