Question

how many angles are alternate interior angles with ∠9?

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal.

Step2: Identify the transversals and parallel lines

Here, we have two transversals \(r\) and \(s\) cutting parallel lines \(t\) and \(u\).
For angle \(\angle9\), when considering transversal \(r\):
The alternate interior angle with \(\angle9\) is \(\angle14\) (since they are non - adjacent interior angles on opposite sides of transversal \(r\) between parallel lines \(t\) and \(u\)).
When considering transversal \(s\):
The alternate interior angle with \(\angle9\) is \(\angle3\) (non - adjacent interior angles on opposite sides of transversal \(s\) between parallel lines \(t\) and \(u\)).

Answer:

2