Question

find the number of sides of a regular polygon whose ecah interior angle measure 135

Answer 1

Sum of all interior angles = (n - 2) x 180

-

Given that 1 interior angle = 135,

Sum of all interior angles = 135n

-

Solve n:

(n - 2) x 180 = 135n

180n - 360 = 135n

180n - 135n = 360

45n = 360

n = 8

-

Answer: There are 8 sides.

Answer 2

$\frac{360}{180 - 135} = 8$
Answer = 8