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

90°
90 degrees
180°
180 degrees
30°
30 degrees
60°
60 degrees

Answer 1

We know that angles A and B are complementary, which means they add up to 90 degrees. Since angle A is x degrees, angle B must be 2x degrees.

Therefore, x + 2x = 90 degrees.

Combining like terms, we get 3x = 90 degrees.

Dividing both sides by 3, we find that x = 30 degrees.

Since angle B is 2x degrees, angle B must be 2(30) = 60 degrees.

Therefore, the measure of angle B is 60 degrees. Answer: 60°.