Question

Find the sum of the measures of the interior angles of the indicated convex polygons.

1. 17-gon
2. 24-gon

Answer 1

1. 17 - gon

sum of the of measures of interior angles = 180(n-2).....(formula)

here n = 17

therefore, 180(17-2)

= 180(15)

= 2700 degrees

2] 24 - gon

sum of the of measures of interior angles = 180(n-2).....(formula)

here n = 24

therefore, 180(24-2)

= 180(22)

= 3960 degrees.