In the above figure, m∠A = 24° and m∠B = (2x + 22)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
If angles A and B are complementary, their measures should add up to 90°.
We are given m∠A = 24°, so m∠B = 90° - 24° = 66°.
We are also given that m∠B = (2x + 22)°.
Setting this equal to 66°, we can solve for x:
2x + 22 = 66
2x = 66 - 22
2x = 44
x = 22
Therefore, the value of x is 22 and the measure of angle B is 66°.