Question

in the figure, lines ad and ce intersect at point f. determine the measure of the angle. enter the correct answer in the box. ∠dfe = □°

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. $\angle DFE$ and $\angle AFC$ are vertical angles.

Step2: Calculate $\angle AFC$

We know that $\angle AFC = 90^{\circ}-42^{\circ}$.
$\angle AFC=48^{\circ}$

Step3: Find $\angle DFE$

Since $\angle DFE=\angle AFC$, then $\angle DFE = 48^{\circ}$

Answer:

$48$