Question

look at this diagram: if df and cj are parallel lines and m∠fec = 137°, what is m∠ghi?

Explanation:

Step1: Identify angle - relationship

$\angle FEC$ and $\angle GHI$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine angle measure

Since $\angle FEC = 137^{\circ}$ and $\angle FEC\cong\angle GHI$, then $\angle GHI = 137^{\circ}$.

Answer:

$137^{\circ}$