In the triangle ABC BD is the bisector of angle B. If the segment DE is drawn parallel to side AB and the measure of the angle BDE = 28°, what are the angles B and C

B = 40 degrees, C = 52 degrees.

This question is missing something...

Angle B = 2 * 28 = 56 degrees

Angle C depends on the measure of the angle A

1/ If angle A is 90 degrees, then the measure of angle C is 34 degrees

2/ If angle A is 60 degrees, then the angle C is 64 degrees