Question

prove: △plm≅△nom

Explanation:

Step1: Vertical angles are equal

$\angle PML=\angle NMO$

Step2: AAS (Angle - Angle - Side) congruence

In $\triangle PLM$ and $\triangle NOM$, $\angle P=\angle N$, $\angle PML=\angle NMO$, $PL = NO$. So, $\triangle PLM\cong\triangle NOM$ by AAS.

Answer:

$\triangle PLM\cong\triangle NOM$ by AAS.