Question

n extra practice level up your skills! identify the transversal connecting each pair of angles. then classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. ∠8 and ∠9 ∠2 and ∠10 ∠4 and ∠7

Explanation:

Step1: Recall angle - pair definitions

Alternate interior angles: non - adjacent interior angles on opposite sides of the transversal. Alternate exterior angles: non - adjacent exterior angles on opposite sides of the transversal. Consecutive interior angles: adjacent interior angles on the same side of the transversal.

Step2: Analyze \(\angle8\) and \(\angle9\)

They are non - adjacent interior angles on opposite sides of the transversal. So, \(\angle8\) and \(\angle9\) are alternate interior angles.

Step3: Analyze \(\angle2\) and \(\angle10\)

They are non - adjacent exterior angles on opposite sides of the transversal. So, \(\angle2\) and \(\angle10\) are alternate exterior angles.

Step4: Analyze \(\angle4\) and \(\angle7\)

They are adjacent interior angles on the same side of the transversal. So, \(\angle4\) and \(\angle7\) are consecutive interior angles.

Answer:

• \(\angle8\) and \(\angle9\): alternate interior angles
• \(\angle2\) and \(\angle10\): alternate exterior angles
• \(\angle4\) and \(\angle7\): consecutive interior angles