Final answer:
In the given trapezoid ABCD, angle A measures 90 degrees and angle B also measures 90 degrees.
Step-by-step explanation:
To find the measures of angles A and B in the given trapezoid ABCD, we can use the fact that the opposite angles in a trapezoid are congruent. Since AB = DC, angle A is congruent to angle B. Additionally, we know that BK is the altitude of the trapezoid, meaning it forms a right angle with the base AB.
Therefore, angle A is equal to 90 degrees. Since angle A is congruent to angle B, angle B is also 90 degrees.