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How many sides has a regular polygon whose interior angle is 135^{o} each

A. 8

B. 12

C. 9

D. 10

**Comments**

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The sum of the nth side of an interior angle of a polygon, p is given by:

p = (n - 2)/n x 180

p = 135

135n = (n - 2) x 180

135n = 180n - 360

180n - 135n = 360

45n = 360

n = 360/45

n = 8

**Ans A**

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