Question

1. in the figure below, the measure of \\( \angle a \\) is 85°. what is the supplement of \\( \angle a? \\)

Explanation:

Step1: Recall the definition of supplementary angles

Two angles are supplementary if their sum is \(180^{\circ}\). Let the supplement of \(\angle a\) be \(x\). Then \(\angle a + x=180^{\circ}\).

Step2: Substitute the value of \(\angle a\)

Given \(\angle a = 85^{\circ}\), we substitute into the equation \(85^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(85^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 85^{\circ}\).

$$x = 95^{\circ}$$

Answer:

D. \(95^{\circ}\)