Question

find the measure of each angle indicated.

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. That is, the sum of the two angles is \(180^{\circ}\).
Let the unknown angle be \(y\). We know that \(y + 45^{\circ}=180^{\circ}\)

Step2: Solve for \(y\)

Subtract \(45^{\circ}\) from both sides of the equation:
\(y=180^{\circ}- 45^{\circ}\)
\(y = 135^{\circ}\)

Answer:

\(135^{\circ}\)