Question

look at this diagram: if eg and hj are parallel lines and m∠efd = 121°, what is m∠gft?

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent. $\angle EFD$ and $\angle GFI$ are vertical angles.

Step2: Apply the property

Since $\angle EFD$ and $\angle GFI$ are vertical angles, $m\angle GFI=m\angle EFD$.

Answer:

$121^{\circ}$