Question

The sum of the measures of the interior angles in a convex polygon is 1,260°. How many sides does the polygon have?

A 5
B. 7
C. 9
D. 14

Answer 1

C. 9
Step by step explanation

Answer 2

C

Explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides , thus

180 (n - 2) = 1260 ( divide both sides by 180 )

n - 2 = 7 ( add 2 to both sides )

n = 9