how many angles are alternate interior angles with ∠9?

how many angles are alternate interior angles with ∠9?

how many angles are alternate interior angles with ∠9?

Answer

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 )