In an isosceles △LMN, LM=LN, and ∠MLN=37
∘
. Find ∠MNL.

In △LMN, it is given that LM=LN.
Therefore, the angles opposite to these sides must be equal:
Filo

∠LMN=∠MNL
We know that the sum of all angles in a triangle is 180
∘
:

∠MLN+∠LMN+∠MNL=180
∘

Substitute ∠MLN=37
∘
and ∠LMN=∠MNL:

37
∘
+2∠MNL=180
∘

2∠MNL=180
∘
−37
∘

2∠MNL=143
∘

∠MNL=
2
143
∘

​
=71.5
∘