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
30°
30 degrees
60°
60 degrees
180°
180 degrees
90°
Let's use the given information to solve for the measure of ∠B.
We know that ∠A and ∠B are complementary, which means they add up to 90°.
So, x° + 2x° = 90°.
Combining like terms, we get 3x° = 90°.
Dividing both sides by 3, we find that x° = 30°.
Since ∠B is 2x°, we can substitute x° with 30° to find the measure of ∠B.
∠B = 2(30°) = 60°.
Therefore, the measure of ∠B is 60°.