To solve the triangle MNO, we need to use the law of sines.
First, we can find m by using the following formula:
sin(m)/12 = sin(34)/4
Solving for m, we get:
m = sin^-1(12sin(34)/4) ≈ 56.4°
Next, we can find n by using the law of sines again:
sin(n)/12 = sin(180-34-m)/sin(34)
Solving for n, we get:
n = sin^-1(12sin(112)/sin(34)) ≈ 87.6°
Therefore, m ≈ 56.4° and n ≈ 87.6°.