Question

18 multiple choice 1 point <12 + <14 = 180
m||n
p||q
neither

Explanation:

Step1: Recall parallel - line postulate

If two lines are cut by a transversal and a pair of same - side interior angles are supplementary (add up to 180°), then the two lines are parallel. Here, \(\angle12+\angle14 = 180^{\circ}\), which means they are same - side interior angles.

Step2: Identify the parallel lines

We need to know which two lines are cut by the transversal to form \(\angle12\) and \(\angle14\). Assuming that \(\angle12\) and \(\angle14\) are formed by lines \(m\) and \(n\) being cut by a transversal, then \(m\parallel n\) according to the same - side interior angles postulate.

Answer:

A. \(m\parallel n\)