Respuesta :

Answer:

  • 37°
  • 58°

Step-by-step explanation:

m∠ABC = 95°

∠ABC = ∠ABD + ∠DBC, angle addition postulate

  • 2x + 23 + 9x - 5 = 95  
  • 11x + 18 = 95
  • 11x = 95 - 18
  • 11x = 77
  • x = 7°

The angles

  • m∠ABD = 2*7° + 23° = 37°
  • m∠DBC = 9*7° - 5° = 58°
Wolfyy

Answer:

x = 7

Step-by-step explanation:

We can write an equation to solve the problem.

(2x + 23) + (9x - 5) = 95

~Combine like terms

11x + 18 = 95

~Subtract 18 to both sides

11x = 77

~Divide 11 to both sides

x = 7

Best of Luck!

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