A polygon has 9 sides. what is the measure of the each interior angle of polygon?

A. 40

B. 1260

C. 144

D. 140

Let m = measure of each interior angle of a regular polygon

It turns out that

m = [180 * (n-2) ]/n

where n is the number of sides

We have n = 9 sides, so

m = [180 * (n-2) ]/n

m = [180 * (9-2) ]/9

m = [180*7]/9

m = 1260/9

m = 140

Each interior angle is 140 degrees

Answer: D) 140