Question

what is m∠lnm? for items 3 - 4, use △jkl and △lmn shown.

Explanation:

Step1: Identify congruent triangles

Since the markings show equal - side lengths, we can assume \(\triangle JKL\cong\triangle LMN\) (by SSS - Side - Side - Side congruence criterion).

Step2: Use congruent - angle property

Corresponding angles of congruent triangles are equal. The angle corresponding to the \(72^{\circ}\) angle in \(\triangle JKL\) in \(\triangle LMN\) is \(\angle LMN\). So \(m\angle LMN = 72^{\circ}\).

Answer:

\(72^{\circ}\)