Question

which of the following angle pairs are same side interior angles?

Explanation:

Step1: Recall same - side interior angles definition

Same - side interior angles are two angles that are on the same side of the transversal and between the two lines being intersected by the transversal.

Step2: Analyze the given figure

For lines \(n\) and \(m\) intersected by transversal \(k\), the pairs are \(\angle5\) and \(\angle9\), \(\angle6\) and \(\angle10\). For lines \(n\) and \(m\) intersected by transversal \(g\), the pairs are \(\angle7\) and \(\angle11\), \(\angle8\) and \(\angle12\).

Answer:

\(\angle5\) and \(\angle9\), \(\angle6\) and \(\angle10\), \(\angle7\) and \(\angle11\), \(\angle8\) and \(\angle12\)