How many sides has a regular polygon whose interior angle is 135°?
- 12
- 10
- 9
-
8
The correct answer is: 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 .