Angle bisectors of the angles ∠a and ∠b of a triangle ∆abc intersect each other at point m. find m∠amb, if m∠a = 58°, m∠b = 96°.

Measure angle A is 58 degrees, this means that, the angle bisector divides the angle into two equal angles each of measure 58/2 = 29 degrees

measure angle B is 96 degrees, this means that the angle bisector divides the angle into two equal angles each of measure 96/2 = 48 degrees

In triangle AMB, we know that the sum of all measure of a triangle is 180 degrees and we have measure angle MAB = 29 degrees and measure angle MBA = 48 degrees
Therefore,
measure angle AMB = 180 - (29+48) = 103 degrees