Question

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

A.40
B.1260
C.144
D.140

Answer 1

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