Question

in the figure, ∠6 and ∠3 are ______. consecutive interior angles alternate exterior angles alternate interior angles corresponding angles

Explanation:

1. Recall the definitions of different types of angle - pairs formed by two lines and a transversal.

• Consecutive interior angles are on the same - side of the transversal and between the two lines.
• Alternate exterior angles are on opposite sides of the transversal and outside the two lines.
• Alternate interior angles are on opposite sides of the transversal and between the two lines.
• Corresponding angles are in the same relative position with respect to the transversal and the two lines.

1. Analyze the position of ∠6 and ∠3:

• ∠6 and ∠3 are on opposite sides of the transversal and between the two lines \(l\) and \(m\).
• By the definition of alternate interior angles, ∠6 and ∠3 are alternate interior angles.

Answer:

alternate interior angles