Final answer:
The measure of angle ABE is 30 degrees.
Step-by-step explanation:
The measure of angle ABE is 30 degrees (Option d).
In this problem, we can use the fact that the angles of a triangle add up to 180 degrees. Since angle ABD is 90 degrees, the sum of angles ABE and EBD must be 90 degrees as well. Therefore, angle ABE = 90 degrees - 60 degrees = 30 degrees.