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in a triangle one angle is 5 more than a number the second goes twice the measure of the first and the third angle measure 99° by the measure of each angle​

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Answered by Benjemin

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Answer:

  • Missing number = 22, missing angles = 27° and 54°

Step-by-step explanation:

One angle is 5 more than a number:

  • A = x + 5

The second goes twice the measure of the first:

  • B = 2A = 2(x + 5) = 2x + 10

The third angle measure 99°:

  • C = 99°

The sum of interior angles is 180°:

  • A + B + C = 180°
  • x + 5 + 2x + 10 + 99 = 180
  • 3x + 114 = 180
  • 3x = 66
  • x = 22

The missing angles:

  • A = 22 + 5 = 27°
  • B = 2A = 2(27) = 54°

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