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 a transversal.

Step2: Analyze the given figure

For angle \(\angle9\), when considering the transversal and the parallel lines:

• If we consider the transversal \(u\) and the parallel lines \(r\) and \(s\) (assuming the appropriate parallel line pairs based on the figure structure), the alternate interior angle of \(\angle9\) is \(\angle3\).
• If we consider the transversal \(t\) and the parallel lines \(u\) and \(v\) (assuming the appropriate parallel line pairs based on the figure structure), the alternate interior angle of \(\angle9\) is \(\angle11\).

Answer:

\(2\)