if line BE bisects m<ABD and m<EBD equals 32 degrees find m<ABD

Hmm. You do know that "bisect" means divide into two equal parts?

One part is 32 degrees. What, oh, what, could the other part be?

64

To find the measure of angle ABD, we can use the fact that line BE bisects angle ABD. This means that angle ABD is split into two congruent angles, and one of those angles is EBD, which measures 32 degrees.

So, if EBD is 32 degrees, then the other congruent angle must also measure 32 degrees. Therefore, the measure of angle ABD is 32 degrees.