In a geometric diagram, ∠A and ∠B are complementary, and they create a supplementary relationship with ∠C. If ∠A=x°, ∠B=2x°, and ∠C=90°, what is the measure of ∠B?(1 point)
Since ∠A and ∠B are complementary, we have:
∠A + ∠B = 90°
Substituting the given values, we get:
x° + 2x° = 90°
Simplifying the equation, we have:
3x° = 90°
Dividing both sides by 3, we get:
x° = 30°
Therefore, ∠B = 2x° = 2(30°) = 60°.
The measure of ∠B is 60°.