Question

how many angles are alternate interior angles with ∠9?
parallel lines r and s are cut by two transversals, parallel lines t and u.

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 check for alternate interior angles with \(\angle9\)

• Consider transversal \(r\):
• For transversal \(r\), \(\angle14\) is on the opposite side of the transversal \(r\) and is an interior angle.
• Consider transversal \(s\):
• For transversal \(s\), \(\angle7\) is on the opposite side of the transversal \(s\) and is an interior angle.

Answer:

2 (the angles are \(\angle7\) and \(\angle14\))