Final answer:
Angle L in triangle LMN, where LM is congruent to NL and angle N is 44 degrees, is found to be 68 degrees using the properties of an isosceles triangle.
Step-by-step explanation:
To find angle L in triangle LMN where LM is congruent to NL, and angle N is 44 degrees, we can use the properties of an isosceles triangle.
Since LM and NL are congruent, angles L and M are also congruent.
The sum of all angles in a triangle is 180 degrees, so if angle N is 44 degrees, the sum of angles L and M is 180 - 44 = 136 degrees.
Because angles L and M are congruent, each of them is half of 136 degrees, which is 68 degrees. Therefore, angle L is 68 degrees.