Question

lines a and b are parallel and lines e and f are parallel. if ( mangle1 = 89^{circ} ), what is ( mangle5 )? 1 89 91 179

Explanation:

Step1: Find \(m\angle2\)

Since \(\angle1\) and \(\angle2\) are supplementary (\(\angle1+\angle2 = 180^{\circ}\)), and \(m\angle1=89^{\circ}\), then \(m\angle2=180 - 89=91^{\circ}\).

Step2: Use parallel - line properties

Because lines \(e\parallel f\) and lines \(a\parallel b\), \(\angle2\) and \(\angle5\) are corresponding angles. Corresponding angles formed by parallel lines are equal. So \(m\angle5 = m\angle2\).

Answer:

\(91\)