Question

angles w and x are complementary. determine the degree measure of ∠w if m∠x = 29.8°. 55.1° 60.2° 90° 150.2°

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to \(90^{\circ}\). Let \(m\angle W=x\) and \(m\angle X = 29.8^{\circ}\). Then \(x + 29.8^{\circ}=90^{\circ}\).

Step2: Solve for \(x\)

Subtract \(29.8^{\circ}\) from both sides of the equation: \(x=90^{\circ}- 29.8^{\circ}\).

$$x = 60.2^{\circ}$$

Answer:

\(60.2^{\circ}\)