Question

1. in a linear pair, one of the angles measures 80 degrees. what is the measure of its adjacent angle? 90° 80° 100° 180°

Explanation:

Step1: Recall the property of linear pair

A linear pair of angles is supplementary, i.e., their sum is \(180^{\circ}\). Let the measure of one angle be \(x = 80^{\circ}\) and the measure of the adjacent angle be \(y\). Then \(x + y=180^{\circ}\).

Step2: Solve for \(y\)

Substitute \(x = 80^{\circ}\) into the equation \(x + y = 180^{\circ}\). We get \(y=180^{\circ}-x\).

$$y = 180^{\circ}-80^{\circ}=100^{\circ}$$

Answer:

\(100^{\circ}\) (corresponding to the third option)