Question

The sum of the angle measures of a polygon with s sides is 2880. Find s.

A. 20
B. 16
C. 17
D. 18

Answer 1

The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180

now we just substitute

(n-2)180=2880
180n-360=2880
180n=3240
n=18

there are 18 sides

to know how many triangles you just subtract 2 from the number of sides ex 3 sides 1 triangle so there would be 16 triangles in this polygon

In regular polygons the exterior angles always add up to 360 degrees so we would just take 360 and divide by the number of sides (360/18) which would give you 20 degrees per side

Answer 2

Thank you

Answer 3

Not a problem!