Question

answer!!

1. a polygon has 18 sides then the sum of its angels is...

2. how many sides does a polygon have if the sum of its interior angels is 4140°?

please show steps!

Answer 1

Answer:

(1) 2880º (2) 25 sides

Step-by-step explanation:

Sum of interior angles = (n - 2) x 180 where n is the number of sides.

Question (1):

A polygon with 18 sides

Sum of interior angles = (18 - 2) x 180 = 2880º

Question (2):

Sum of its interior angles is 4140º

(n - 2) x 180 = 4140

Divide by 180 on both sides:

n - 2 = 23

Add 2 to both sides:

n = 25

Answer: (1) 2880º (2) 25 sides