Question

look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarrow{eg}$ are parallel lines and $mangle bcf = 47^{circ}$, what is $mangle dcf$?

Explanation:

Step1: Recall angle - addition postulate

$\angle BCF+\angle DCF = 180^{\circ}$ (linear - pair of angles).

Step2: Solve for $\angle DCF$

$\angle DCF=180^{\circ}-\angle BCF$.
Since $\angle BCF = 47^{\circ}$, then $\angle DCF=180 - 47=133^{\circ}$.

Answer:

$133$