Question

look at this diagram: if (overleftrightarrow{ce}) and (overleftrightarrow{fh}) are parallel lines and (mangle edg = 113.6^{circ}), what is (mangle fgd?)

Explanation:

Step1: Identify angle - type relationship

$\angle EDG$ and $\angle FGD$ are alternate - interior angles.

Step2: Apply parallel - lines property

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overleftrightarrow{CE}\parallel\overleftrightarrow{FH}$, $m\angle FGD=m\angle EDG$.

Answer:

$113.6^{\circ}$