Since both of the opposite sides are parallel, angle 2 is the exact same as angle 1.
mL2 = 160º
The two unnamed angles are also equal to each other for the same reason.
The horizontal line bisects the two unnamed angles.
There are 180º in every triangle.
So
mL2 + 2(mL3) = 180º
160º + 2(mL3) = 180º
2(mL3) = 20º
mL3 = 10º