Respuesta :

Answer:

#11-13: 118 , 97 , 62

#7-10: 92 , 125 , 56 , 130

Step-by-step explanation:

#11. Supplementary angles (A + B = 180)

  • (n + 7) + (3n - 47) = 180
  • n = 55
  • <ABC = 3(55) - 47 = 118 degrees

#12. Supplementary angles

  • 83 + x = 180
  • x = 97
  • <ABC = 97 degrees

#13. Congruent angles (A = B)

  • (8x - 34) = (5x +2)
  • x = 12
  • <DEF = 5 (12) + 2 = 62 degrees

#7. Congruent angles

  • (3x +23) = 4x
  • x = 23
  • <ABC = 4(23) = 92 degrees

#8. Congruent angles

  • 5x = (3x + 50)
  • x = 25
  • <MPQ = 3(25) + 50 = 125 degrees

#9. Congruent angles

  • (a + 28) = 2a
  • a = 28
  • <MNP = (28) + 28 = 56 degrees

#10. Congruent angles

  • 5y = (2y + 78)
  • y = 26
  • <WXZ = 5(26) = 130 degrees

I hope this helps!

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