Question

the interior angle of a regular polygon is 156dgree find the ndgree of sides of the polygon​

Answer 1

Answer:

Let number of sides of regular polygon = n

given, Interior angle = 156°

$\frac{(n - 2)}{n} \times 180 = 156 \\ 180n - 360 = 156n \\ 180n - 156n = 360 \\ 24n = 360 \\ n = \frac{360}{24} = 15$

so number of sides = 15

Ans.