In a geometric diagram, ∠A and ∠B are complementary, and they form a straight line with ∠C. If m∠A=x°, m∠B=(2x)°, and m∠C=90°, what is the measure of ∠B?(1 point)
Responses
180°
180 degrees
90°
90 degrees
60°
60 degrees
30°
The measure of ∠B is 180° - 90° - ∠A, since ∠A and ∠B are complementary and form a straight line with ∠C. Therefore, ∠B = 180° - 90° - x°.
Substituting the given values, we have ∠B = 180° - 90° - x° = 90° - x°.
Therefore, the measure of ∠B is 90° - x°.