Question

if ∠dcf measures 67° what is the measure of ∠cfh? #9 a) 67° c) 23° b) 113° d) 103°

Explanation:

Step1: Identify angle - type relationship

$\angle DCF$ and $\angle CFH$ are same - side interior angles. When two parallel lines ($AD$ and $EH$) are cut by a transversal ($BG$), same - side interior angles are supplementary.

Step2: Calculate the measure of $\angle CFH$

Let $m\angle DCF = 67^{\circ}$. Since $\angle DCF+\angle CFH = 180^{\circ}$ (supplementary angles), then $m\angle CFH=180 - 67$.
$m\angle CFH = 113^{\circ}$

Answer:

B. $113^{\circ}$