Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle cdb = 130^{circ}$, what is $mangle cdg$?

Explanation:

Step1: Identify linear - pair relationship

$\angle CDB$ and $\angle CDG$ form a linear - pair. The sum of angles in a linear - pair is $180^{\circ}$.

Step2: Calculate $\angle CDG$

Let $m\angle CDG=x$. We know that $m\angle CDB + x=180^{\circ}$. Given $m\angle CDB = 130^{\circ}$, then $x=180^{\circ}-130^{\circ}$.

Answer:

$50$