Question

find the measure of each angle indicated.

Explanation:

Step1: Recall angle - pair relationship

When two parallel lines are cut by a transversal, the sum of adjacent angles (linear - pair) is 180°.

Step2: Calculate the unknown angle

Let the unknown angle be \(x\). The given angle is 100°. Since they are adjacent angles (linear - pair), we have \(x + 100^{\circ}=180^{\circ}\). Solving for \(x\), we get \(x=180^{\circ}- 100^{\circ}=80^{\circ}\).

Answer:

80°