Question

look at this diagram: if hj and km are parallel lines and m∠jig = 40°, what is m∠mln?

Explanation:

Step1: Identify corresponding angles

Since $\overleftrightarrow{HJ}$ and $\overleftrightarrow{KM}$ are parallel lines and $\angle JIG$ and $\angle MLN$ are corresponding angles.

Step2: Apply the property of corresponding angles

Corresponding angles formed by parallel lines and a transversal are congruent. So $m\angle MLN=m\angle JIG$.

Answer:

$40^{\circ}$