Question

18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior

angles. Find the number of sides of the polygon.

Answer 1

• 22

Explanation:

Let the number of sides ne n

Sum of interior angles:

• 180(n - 2)

Sum of exterior angles:

• 360

We have equation below to solve for n:

• 180(n - 2) = 10*360
• n - 2 = 20
• n = 22