Diagonals are = n - 2
Interior = 144
Exterior angle = 180 - 144 = 36
Formula for exterior of a regular polygon given the number of sides:
= 360/n
36 = 360/n
n = 360/36 = 10
n = 10
Number of diagonals = n - 2 = 10 - 2 = 8
8 diagonals.
The answer is D. 63. You have to set up a proportion as shwon in the image.
90 = (20)(x)
so you have to solve for x
90/.20 =450
answer is 450