Question

look at this diagram: if df and gi are parallel lines and m∠deh = 136°, what is m∠fec?

Explanation:

Step1: Identify vertical - angle relationship

$\angle DEH$ and $\angle FEC$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle FEC=m\angle DEH$.

Answer:

$136$