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)

Question

Responses

A.180°

B.60°

C.30°

D.90°

Answer 1

Since ∠A and ∠B are complementary, their sum is equal to 90°.
So, x + 2x = 90°
Combining like terms, we get 3x = 90°
Dividing both sides by 3, we get x = 30°.
Therefore, ∠B is equal to (2x)° = 2(30°) = 60°.
The answer is B. 60°.