How many sides has a regular polygon whose interior angle is 135°?

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.

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