Question

two parallel lines are crossed by a transversal. what is the value of m? m = 68 m = 78 m = 102 m = 112

Explanation:

Step1: Recall angle - relationship

When two parallel lines are cut by a transversal, adjacent angles are supplementary (add up to 180°).

Step2: Set up the equation

Let the given angle be 78°. We know that \(m + 78^{\circ}=180^{\circ}\).

Step3: Solve for \(m\)

Subtract 78° from both sides of the equation: \(m=180 - 78\).
\(m = 102^{\circ}\)

Answer:

\(m = 102\)