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I need help with problem 19

I Need Help With Problem 19 class=

Sagot :

Marleyann2idn

Answer:

124

Step-by-step explanation:

Semsee45idn

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

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