Question

Each of a regular polygon is 140°,find the number of the sides that ghe polygon has​

Answer 1

the answer should be 360/36=10 sides

Explanation:

A regular polygon is 144 deg the exterior angle is 36 deg.

Answer 2

9 sides

Explanation:

Internal angles of the regular polygon have a property, sum of interior angles is equal to:

• sum = (n-2)*180°

n sides each interior angle equal to 140°, then

• sum = 140°n

Comparing the two equations:

• (n-2)*180= 140n
• 180n - 360 = 140n
• 40n = 360
• n = 360/40
• n = 9

The polygon has 9 sides