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°.
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°
1 answer