Question

look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarrow{ln}) are parallel lines and (mangle kjm = 115^{circ}), what is (mangle lmj?)

Explanation:

Step1: Identify angle - relationship

$\angle KJM$ and $\angle LMJ$ are alternate - interior angles.

Step2: Apply property of parallel lines

When two parallel lines are cut by a transversal, alternate - interior angles are congruent.

Answer:

$115^{\circ}$