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. ∠cfd =

Explanation:

Step1: Recall linear - pair property

Linear - pair angles add up to 180°. $\angle BFC$ and $\angle CFD$ form a linear pair.

Step2: Identify $\angle BFC$

Given $\angle BFC = 42^{\circ}$.

Step3: Calculate $\angle CFD$

Let $\angle CFD=x$. Then $x + 42^{\circ}=180^{\circ}$, so $x=180^{\circ}-42^{\circ}$.
$x = 138^{\circ}$

Answer:

$138$