geordiefrancombe40 geordiefrancombe40
  • 02-11-2021
  • Mathematics
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Find the degree measure of each angle in the triangle.

Find the degree measure of each angle in the triangle class=

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sqdancefan
sqdancefan sqdancefan
  • 03-11-2021

9514 1404 393

Answer:

  ∠P = 27°, ∠Q = 39°, ∠R = 114°

Step-by-step explanation:

The sum of angle measures in a triangle is 180°.

  P +Q +R = 180°

  (x +8)° +(2x +1)° +(6x)° = 180°

  9x +9 = 180 . . . . . . . . divide by °, simplify

  x +1 = 20 . . . . . . . . . . divide by 9

  x = 19 . . . . . . . . . . . . . subtract 1

  P = (x +8)° = 27°

  Q = (2x +1)° = 39°

  R = 6x° = 114°

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