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
Since ∠A and ∠B are complementary, their measures add up to 90°. Therefore, we can write the equation:
x + 2x = 90°
Combining like terms, we get:
3x = 90°
Dividing both sides of the equation by 3, we find:
x = 30°
Therefore, ∠B = 2x = 2(30°) = 60°.
The measure of ∠B is 60°.