Question

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

Answer 1

Answer:

108 degrees

Step-by-step explanation:

Answer 2

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