Question

How many sides does a regular polygon have if each of it's interior angle is 165 degree? (pls give step by step expansion)​

Answer 1

Answer:

Given,

interior angle of a regular polygon is 165 degree

Now,

we have to find the side does a regular polygon

By using formula: 2n -4/n ×90 degree = 162

According to the question

2n-4 ×90 = 162n

180n-360 = 162n

-360= 162n-180n

-360= -18n

20 =n

Hence,

the polygon has 20 sides