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Supplementary angles are angles that sum up to 180 degrees

∠A and ∠B are supplementary angles

  • ∠A + ∠B = 180°
  • 2(x) - 24 + 5(x) - 27° = 180°
  • 7(x) -51° = 180°
  • 7(x) = 180° + 51°
  • 7(x) = 231°
  • x = 33°

Find ∠B

  • 5(x) - 27°
  • 5(33) - 27°
  • 165° - 27
  • 138°

Therefore ∠B is 138 degrees

Answer:

∠B = 138

Step-by-step explanation:

Suplementary means = 180 soooo

180=(2x-24)+(5x-27)

180=7x-51

231=7x

x=33

B=5x-27

5(33)-27= 138

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