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the sum of the interior angles of a polygon is 900 degrees. what is the measure of each interior angle in nearest hundredths?​​

Sagot :

Answer:

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Step-by-step explanation:

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✒MATHEMATICS

SOLUTION :

Use formula of sum of interior angles of polygon:

  • Sum = (n - 2) × 180°
  • with n = number of side of the polygon.

if sum = 900° , Solve for n,

  • 900° = (n - 2) × 180°
  • n - 2 = 900°/180°
  • n = 5 + 7
  • n = 7

Hence , measure of each interior angles (in nearest hundredths) is:

  • Sum/n = 900°/7
  • n = [tex]{\boxed{\green{\sf{128.57 }}}}[/tex]

ANSWER :

  • Therefore , measure of each interior angles (in nearest hundredths) is 128.57.

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