Question

find m∠lmn. answer attempt 1 out of 2 m∠lmn = ° submit answer

Explanation:

Step1: Identify isosceles - triangle property

Since $MN = ML$ (the equal - side markings), $\triangle LMN$ is an isosceles triangle. In an isosceles triangle, the base - angles are equal. Let $\angle L=\angle N = 37^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. So, for $\triangle LMN$, we have $\angle L+\angle M+\angle N=180^{\circ}$.
Substitute $\angle L = 37^{\circ}$ and $\angle N = 37^{\circ}$ into the equation: $37^{\circ}+\angle M + 37^{\circ}=180^{\circ}$.

Step3: Solve for $\angle M$

First, simplify the left - hand side: $74^{\circ}+\angle M=180^{\circ}$.
Then, subtract $74^{\circ}$ from both sides: $\angle M=180^{\circ}-74^{\circ}=106^{\circ}$.

Answer:

$106$