If ray BD bisects right angle ABC, the measure of angle ABD is

A. 180 degrees
B. 90 degrees
C. 50 degrees
D. 45 degrees

Draw a diagram on paper according to the given information, and the answer will be on paper.

B

To find the measure of angle ABD, we need to use the fact that ray BD bisects right angle ABC.

A bisector divides an angle into two congruent angles. Since angle ABC is a right angle, it measures 90 degrees.

When ray BD bisects right angle ABC, it divides the 90-degree angle into two congruent angles. Therefore, each of those angles measures 90 degrees divided by 2, which is 45 degrees.

So, the measure of angle ABD is 45 degrees.

Therefore, the correct answer is D. 45 degrees.