Question

angles a and b are complementary. what is the value of x? (x+22)° a b x° 34 56 68 79

Explanation:

Step1: Recall complementary angles property

Complementary angles sum to \(90^\circ\). So, \((x + 22) + x = 90\).

Step2: Simplify the equation

Combine like terms: \(2x + 22 = 90\).

Step3: Solve for x

Subtract 22 from both sides: \(2x = 90 - 22 = 68\).
Divide by 2: \(x = \frac{68}{2} = 34\).

Answer:

34