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 check for alternate interior angles with ∠9

• For transversal \( r \):
• When considering the parallel lines \( t \) and \( u \) cut by transversal \( r \), there is no angle that forms an alternate interior relationship with \( \angle9 \) among the given numbered angles.
• For transversal \( s \):
• When considering the parallel lines \( t \) and \( u \) cut by transversal \( s \), \( \angle3 \) is the alternate interior angle with \( \angle9 \) as they are non - adjacent interior angles on opposite sides of transversal \( s \).

Answer:

\( 1 \)