Question

How many side does a regular polygon have if each of its interior angel is 135degree .

Answer 1

Step-by-step explanation:

$each \: angle \: = \frac{(n - 2) \times 180}{n}$

$135 = \frac{(n - 2) \times 180}{n}$

$135n = 180n - 360$

$45n = 360$

$n = \frac{360}{45}$

$n = 8$

so the number of sides of regular polygon =8 sides

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