Question

lines a and b are parallel.
what is the measure of angle m?
enter your answer in the box.
m = □°

Explanation:

Step1: Use the linear - pair property

Since the angle of \(125^{\circ}\) and \(z^{\circ}\) form a linear pair, \(125 + z=180\). Then \(z = 180 - 125=55\). Also, \(z\) and \(y\) are vertical angles, so \(y = z = 55^{\circ}\).

Step2: Use the property of parallel lines

Lines \(a\) and \(b\) are parallel. \(m\) and \(y\) are alternate - interior angles. For parallel lines \(a\) and \(b\) cut by a transversal, alternate - interior angles are equal. So \(m=y\).

Answer:

\(55\)