Question

look at this diagram!
if (overleftrightarrow{hj}) and (overleftrightarrow{km}) are parallel lines and (mangle jig = 49^circ), what is (mangle ehl)?
(square^circ)

Explanation:

Step1: Identify vertical angle

$\angle JIG$ and $\angle HIL$ are vertical angles.

Step2: Apply vertical angle theorem

Vertical angles are congruent, so $m\angle HIL = m\angle JIG$.

Step3: Substitute given value

$m\angle HIL = 49^\circ$

Answer:

$49^\circ$