When writing congruent triangles, the order of the letters is very important. This is because each side/angle in the first triangle is congruent to the corresponding side/angle in the second.
We are given that:
triangle MLK is congruent to triangle RQP.
Now, from this given, we can deduce that:
measure angle M = measure angle R = 105 degrees
measure angle L = measure angle Q = 32 degrees
measure angle K = measure angle P = 43 degrees
Based on the above, the correct choice for the measure of angle P is 43 degrees