Question

look at this diagram; if bd and eg are parallel lines and m∠bca = 68°, what is m∠dcf?

Explanation:

Step1: Recall angle - relationship

$\angle BCA$ and $\angle DCF$ are vertical angles.

Step2: Use vertical - angle property

Vertical angles are congruent. So $m\angle DCF=m\angle BCA$.

Answer:

$68$