How many sides has a regular polygon whose interior angle is 135°?
A.
12
B.
10
C.
9
D.
8
Correct Answer: 8
Explanation
If each interior angle of the polygon is 135°, then each exterior angle is 180° - 135° = 45°.
Hence, number of sides =
360°/one exterior angle
360°/45°
= 8
If each interior angle of the polygon is 135°, then each exterior angle is 180° - 135° = 45°.
Hence, number of sides =
360°/one exterior angle
360°/45°
= 8