In a geometric diagram, angle A and angle B are complementary, and they form a straight line with angle C. If angle A=x°, angle B=(2x)°, and angle C=90°, what is the measure of angle B?

Question

In a geometric diagram,  angle A and angle B are complementary, and they form a straight line with angle C. If angle A=x°, angle B=(2x)°, and angle C=90°, what is the measure of angle B?

GPT 3.5 · Answer

Since angle A and angle B are complementary, we have the equation:

angle A + angle B = 90°.

Substituting the given values, we get:

x° + (2x)° = 90°.

Simplifying the equation, we have:

3x° = 90°.

Dividing both sides by 3, we find:

x° = 30°.

Therefore, the measure of angle B is 2x° = 2(30°) = 60°. Answer: \boxed{60}.