Question

lines a and b are parallel and lines e and f are parallel. if m∠1 = 89°, what is m∠5? 1 89 91 179

Explanation:

Step1: Identify angle - relationship

Since lines \(a\) and \(b\) are parallel and lines \(e\) and \(f\) are parallel, \(\angle1\) and \(\angle3\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \(m\angle1 = m\angle3=89^{\circ}\).

Step2: Identify another angle - relationship

\(\angle3\) and \(\angle5\) are vertical angles. Vertical angles are equal. So \(m\angle5=m\angle3\).

Answer:

89