Question

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

Explanation:

Step1: Identify angle - relationship

$\angle GFH$ and $\angle DCA$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines $BD$ and $EG$ cut by a transversal, corresponding angles are equal. So $m\angle DCA=m\angle GFH$.

Answer:

$47$