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

Right angle = 90 degrees

Bisect means to divide something into two equal parts.

45. 90/2=45

3x5o=150

To find the measure of angle ABD, we need to understand the concept of angle bisector.

An angle bisector is a line or ray that divides an angle into two equal parts, called congruent angles. In this case, ray BD is an angle bisector because it divides right angle ABC into two congruent angles, angle ABD and angle DBC.

Since ray BD bisects right angle ABC, we can conclude that angle ABD is equal to angle DBC. As a result, both angles have the same measure.

Therefore, the measure of angle ABD is half the measure of right angle ABC. Since a right angle measures 90 degrees, angle ABD measures 90/2 = 45 degrees.