How many sides has a regular polygon whose interior angle is 135°?
-
A.
12 -
B.
10 -
C.
9 -
D.
8
Correct Answer: Option D
Explanation
If each interior angle of the polygon is 135°, then each exterior angle is 180° – 135° = 45°.
Hence, number of sides =
(frac{360°}{text{one exterior angle}})
(frac{360°}{45°})
= 8
There is an explanation video available below.