Question

look at this diagram: if (overleftrightarrow{bd}) and (overleftrightarrow{eg}) are parallel lines and (mangle gfc = 69^{circ}), what is (mangle ehf)?

Explanation:

Step1: Identify angle - relationship

$\angle GFC$ and $\angle EHF$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle EHF=m\angle GFC$.

Answer:

$69$