Question

the measure of ∠cfe is 108°. find the measure of ∠cfd.

Explanation:

Step1: Identify angle - relationship

We know that $\angle CFE=\angle CFD + \angle DFE$.

Step2: Rearrange the formula to find $\angle CFD$

$\angle CFD=\angle CFE-\angle DFE$.

Step3: Substitute the given values

Given $\angle CFE = 108^{\circ}$ and $\angle DFE=59^{\circ}$, so $\angle CFD=108 - 59$.

Step4: Calculate the result

$\angle CFD = 49^{\circ}$.

Answer:

$49^{\circ}$