wfz
wfz wfz
  • 18-01-2019
  • Mathematics
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gmany
gmany gmany
  • 18-01-2019

m∠FED = m∠JED + m∠FEJ

We have m∠FED = 83°,  m∠JED = 3x + 9 and m∠FEJ = 2x + 19. Substitute:

83 = (3x + 9) + (2x + 19)

83 = (3x + 2x) + (9 + 19)

83 = 5x + 28         subtract 28 from both sides

55 = 5x      divide both sides by 5

11 = x

Answer: x = 11

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