Question

in the accompanying diagram, line n is parallel to line m, line t is a transversal, and m∠1 = 24. what does x equal, in degrees?

Explanation:

Step1: Identify angle - relationship

Since line \(m\) and line \(n\) are parallel and \(t\) is a transversal, \(x\) and the angle with measure \(24^{\circ}\) are corresponding angles.

Step2: Apply corresponding - angles postulate

Corresponding angles formed by a transversal intersecting two parallel lines are congruent. So \(x = 24^{\circ}\).

Answer:

\(24^{\circ}\)