Question

look at this diagram: if (overleftrightarrow{fh}) and (overleftrightarrow{ik}) are parallel lines and (mangle hge = 41^{circ}), what is (mangle kjg?)

Explanation:

Step1: Identify angle - type relationship

$\angle HGE$ and $\angle KJG$ are corresponding angles.

Step2: Apply corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are congruent. Since $\overleftrightarrow{FH}\parallel\overleftrightarrow{IK}$ and $\angle HGE = 41^{\circ}$, then $\angle KJG=\angle HGE$.

Answer:

$41$