Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

I need help with problem 19

I Need Help With Problem 19 class=

Sagot :

Answer:

124

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The formula for calculating the sum of interior angles is:

(n - 2) x 180°  (where n is the number of sides)

interior angle of a polygon = sum of interior angles ÷ number of sides

165 = [ (n - 2) x 180° ] ÷ n

Mulitply both sides by n:             165n = (n - 2) x 180°

Expand brackets:                         165n = 180n - 360

Add 360 to both sides:    165n + 360 = 180n

Subtract 165n from both sides:   360 = 15n

Divide both sides by 15:                 24 = n

Therefore, the number of sides = 24