Question

angles r and w are complementary. what is the value of x? (there is a diagram with angle at r being 22° and angle at w being (8x - 4)°)

Explanation:

Step1: Recall complementary angles rule

Complementary angles sum to \(90^\circ\). So, \(22^\circ + (8x - 4)^\circ = 90^\circ\).

Step2: Simplify the equation

Combine like terms: \(22 - 4 + 8x = 90\) → \(18 + 8x = 90\).

Step3: Solve for x

Subtract 18: \(8x = 90 - 18 = 72\). Divide by 8: \(x = \frac{72}{8} = 9\).

Answer:

\(x = 9\)