Question

Pls help How many sides does this regular polygon have? ​

Answer 1

Answer:

9

Step-by-step explanation:

interior angle + exterior angle = 180°, that is

7y + 2y = 180

9y = 180 ( divide both sides by 9 )

y = 20

Then

2y = 2 × 20 = 40°

The sum of the exterior angles of a polygon = 360°

Divide the sum by 40 for number of sides (n)

n = $\frac{360}{40}$ = 9