The perpendicular bisector of side ab of ∆abc intersects side ab at point d and bc at point e. if m∠cab = 82° and m∠c = 68°, find m∠cae.

Check the picture below.

now, an angle bisector I assume, since it intersects the opposite segment at D and then at E.  An angle bisector cuts an angle in two equal halves, so if ∡CAB is 82°, that just means that ∡CAE is one of those halves, or 41°.