Angle A, angle B, and angle C are complementary angles. The measure of angle A is 24 degrees. The measure of angle B is unknown, and the measure of angle C is twice the measure of angle A.

The measure of angle B is ____ degrees, and the measure of angle C ____ is degrees.

Since angle A and angle B are complementary, their measures should add up to 90 degrees.

So, angle B = 90 degrees - angle A = 90 degrees - 24 degrees = <<90-24=66>>66 degrees.
Since angle C is twice the measure of angle A, angle C = 2 * angle A = 2 * 24 degrees = <<2*24=48>>48 degrees. Answer: \boxed{66}. Answer: \boxed{48}.

which one is angle b and which one is angle a

Apologies for the confusion. Angle B is 66 degrees and Angle A is 24 degrees.