Question

Find the number of slda of a
regular polygon whose each
Interlor angle is measured 160°
​

Answer 1

Answer:

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°

So, there must be 360/20 = 18 sides

Answer 2

Answer:

n = 18

Step-by-step explanation:

Let no. of sides of regular polygon be n.

Each interior angle = 160°

∴ (n – 2)/n × 180° = 160°

180n – 360° = 160n

180n – 160n = 360°

20n = 360°

n = 18