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3 years ago

I need help with problem 19

Mathematics

2 answers:

lara [203]3 years ago

8 0

Answer:

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

Vsevolod [243]3 years ago

6 0

Answer:

124

Step-by-step explanation:

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