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

180°
180 degrees

60°
60 degrees

30°
30 degrees

90°

Answer 1

We know that ∠A and ∠B are complementary, meaning their measures add up to 90 degrees.

From the given information, we know that ∠A = x° and ∠B = 2x°.

To find the measure of ∠B, we can set up the equation:

x° + 2x° = 90°

Combining like terms, we have:

3x° = 90°

Dividing both sides by 3, we get:

x° = 30°

Therefore, the measure of ∠B is 2x° = 2(30°) = 60°.

Therefore, the correct answer is 60°.