Question

look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarrow{gi}$ are parallel lines and $mangle deh = 65^{circ}$, what is $mangle ghj$?

Explanation:

Step1: Identify angle - relationship

$\angle DEH$ and $\angle GHJ$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle GHJ=m\angle DEH$.

Answer:

$65$