Question

look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarrow{eg}$ are parallel lines and $mangle dca = 66^{circ}$, what is $mangle bcf$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle DCA$ and $\angle BCF$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle BCF=m\angle DCA$.

Answer:

$66$