Question

complementary and supplementary angles (visual)
what is the measure of ∠x?
angles are not necessarily drawn to scale.

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°.

Step2: Set up equation

Let the given angle be 106° and the unknown angle be \(x\). Then \(x + 106^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}- 106^{\circ}\).

Answer:

74