Question

in the figure below, $\triangle hij$ is drawn. the line $overleftrightarrow{khl}$ is drawn such that $overleftrightarrow{khl} parallel overline{ij}$.
$mangle hlj =$ $quad$ because they are

Explanation:

Step1: Identify alternate interior angles

Since $\overleftrightarrow{KHL} \parallel \overline{IJ}$, $\angle HLJ$ and $\angle IJH$ are alternate interior angles.

Step2: Apply alternate interior angles theorem

Alternate interior angles formed by parallel lines and a transversal are congruent, so $m\angle HLJ = m\angle IJH$.
<Expression>
$m\angle HLJ = 39^\circ$
</Expression>

Answer:

$m\angle HLJ = 39^\circ$ because they are alternate interior angles.