Question

B.The sum of the measures of the interior angles of a convex polygon is given. What kind polygon is each?

Answer 1

Below in bold.

Explanation:

The formula for the number of degrees in a convex polygon of side length n is S = 180(n - 2)

Solving for n:

n - 2 = S/180

and n = (S/180) + 2.

1. n = (900/180) + 2 = 5 + 2 = 7 . This is a heptagon.

2. n = (1800/180) + 2 = 12. A duodecagon.

3. n = (2160/180) + 2 = 14 sided polygon.

4. n = (2520/180) + 2 = 16 sided polygon.

5. n = (3420/180) + 2 = 21 sided polygon.