Question

these two angles are complementary. what is the measure of ∠x? ∠x = ?°

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to \(90^{\circ}\). Let \(\angle x\) be one angle and the other angle is \(48^{\circ}\).

Step2: Set up the equation

We have the equation \(\angle x + 48^{\circ}=90^{\circ}\).

Step3: Solve for \(\angle x\)

Subtract \(48^{\circ}\) from both sides of the equation: \(\angle x=90^{\circ}- 48^{\circ}\).

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Answer:

\(42\)