Question

given
prove
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: Identify congruent angles

Given $\angle LNO\cong\angle LNM$ (first blank). Also, from the given $\angle OLN\cong\angle MLN$ (second blank).

Step2: Analyze side congruence

Side $LN$ is congruent to side $LN$ because of the reflexive property (third blank).

Step3: Apply congruence criterion

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

Answer:

1. $\angle LNM$
2. $\angle LMN$
3. reflexive property
4. ASA (Angle - Side - Angle)