Question

given: ∠lno ≅ ∠lnm
∠oln ≅ ∠mln
prove: △lno ≅ △lnm
it is given that angle lno is congruent to angle and angle oln is congruent to angle. we know that side ln is congruent to side ln because of the. therefore, because of, we can state that triangle lno is congruent to triangle lnm.

Explanation:

Step1: Recall given congruent angles

We are given that $\angle LNO\cong\angle LNM$ and $\angle OLN\cong\angle MLN$.

Step2: Identify reflexive - property side

Side $LN$ is congruent to itself by the reflexive property of congruence.

Step3: Apply congruence criterion

Since we have two pairs of congruent angles and a pair of congruent sides (the included - side between the angles), by the Angle - Side - Angle (ASA) congruence criterion, $\triangle LNO\cong\triangle LNM$.

Answer:

1. $\angle LNM$
2. $\angle MLN$
3. Reflexive Property of Congruence
4. ASA (Angle - Side - Angle)