triangles ABC and XYZ are congruent. Angle A is one half the size of angle B. Angle Y is 90 degrees. Angle C and angle Z are both 45 degrees. what is the measure of angle A.

angle a is 45 degrees because b is 90 degrees

To find the measure of angle A, we need to use the given information about angles B, C, X, and Y.

We know that angle Y is 90 degrees and angle Z is 45 degrees. Since triangles ABC and XYZ are congruent, it means that angle Y and angle A are corresponding angles. Therefore, angle A is also 90 degrees.

So, the measure of angle A is 90 degrees.