Question

How many sides does a regular polygon have if each of its interior angles is 160?

Answer 1

If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.
hope this helps........

Answer 2

Answer:

A regular polygon have 18 sides.

Step-by-step explanation:

Given : Interior angles of regular polygon is 160°

To Find : How many sides does a regular polygon have?

Solution:

Interior angle = 160°

Formula for calculating no. of sides of regular polygon:

$180 \times \frac{n-2}{n}=\text{interior angle}$

$180 \times \frac{n-2}{n}=160$

$18 \times \frac{n-2}{n}=16$

$9 \times \frac{n-2}{n}=8$

$9n-18=8n$

$n=18$

Hence a regular polygon have 18 sides.