Line AE and line DF are parallel. If m∠ABG = 12x and m∠HCF = 11x + 9, what is m∠HCF? A. 15°

B. 72°

C. 108°

D. 112°

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

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

11x+9 = ∠HCF

11(9) + 9 = ∠HCF

99 + 9 = ∠HCF

108 = ∠HCF