Question

find m∠acg if m∠cfe = 56. (not drawn to scale)

Explanation:

Step1: Identify angle - relationship

Assume $DE\parallel BF$. $\angle CFE$ and $\angle FCD$ are alternate - interior angles. So, $m\angle FCD=m\angle CFE = 56$.

Step2: Use linear - pair property

$\angle ACG$ and $\angle FCD$ are vertical angles. Vertical angles are congruent. So, $m\angle ACG=m\angle FCD$.

Answer:

C. 56