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omeli [17]
3 years ago
15

Line AE and line DF are parallel. If m∠ABG = 12x and m∠HCF = 11x + 9, what is m∠HCF?

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0

Answer:

108 degrees

Step-by-step explanation:

vladimir2022 [97]3 years ago
3 0

Answer:

C. 108°

Step-by-step explanation:

  • ∠ABG and ∠HCF are alternate exterior angles which mean they are congruent (equal in measure)
  • So, if 12x = 11x+9, use railroad tracks to solve

12x = 11x + 9 \\-11x    -11x\\---------------------\\x = 9

  • Now substitute 9 in for x in the equation for ∠HCF

11x+9 = ∠HCF

11(9) + 9 = ∠HCF

99 + 9 = ∠HCF

108 = ∠HCF

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