Question

answer this pls
Options are :
6
7
6
5
9
​

Answer 1

Answer:

It is given that

One interior angle of a regular polygon = 108°

The sum of interior angles of a regular polygon = (n - 2) × 180°

The interior angle of a regular polygon = [(n - 2) × 180°]/n

By equating both we get

108 = [(n - 2) × 180°]/n

By further simplification

108n = 180n - 360

180n - 108n = 360

So we get

72n = 360

n = 5

Therefore, it is a 5 sided polygon known as pentagon.

Step-by-step explanation:

So, 5 is the correct answer