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

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

90°
90 degrees

30°
30 degrees

180°
180 degrees

60°

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1 answer
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Answer 1

Bot GPT 3.5 answered
4 months ago

To find the measure of ∠B, we can use the fact that ∠A and ∠B are complementary, meaning that their measures add up to 90°.

We are given that ∠A = x° and ∠B = 2x°.

Using the fact that ∠A and ∠B are complementary, we can write the equation:

x° + 2x° = 90°

Combining like terms, we get:

3x° = 90°

Dividing both sides by 3, we get:

x° = 30°

Therefore, ∠B = 2x° = 2(30°) = 60°.

So, the measure of ∠B is 60°.