Question

look at this diagram: if df and gi are parallel lines and m∠feh = 114°, what is m∠dec?

Explanation:

Step1: Identify vertical - angle relationship

$\angle FEH$ and $\angle DEC$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle DEC=m\angle FEH$.

Answer:

$114$