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The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

The sum of the angle measures of a triangle is 180°. Find the value of x. Then find-example-1

1 Answer

5 votes

Answer:

  • x = 43
  • 43°, 51°, 86°

Explanation:

The sum of the angles is ...

x° + (x +8)° + 2x° = 180°

4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

x +2 = 45 . . . . . . . . . . divide by 4

x = 43 . . . . . . . . . . subtract 2

x +8 = 51

2x = 86

The angles are 43°, 51°, 86°.

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