Question

match the following pairs of angles with their respective definitions. ∠3 and ∠5 ∠3 and ∠6 ∠4 and ∠5 ∠2 and ∠7 ∠3 and ∠7 corresponding angles alternate interior angles alternate exterior angles drag & drop the answer corresponding angles alternate interior angles alternate exterior angles

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. Alternate interior angles are between the two crossed lines and on opposite sides of the transversal. Alternate exterior angles are outside the two crossed lines and on opposite sides of the transversal.

Step2: Analyze each angle pair

• For ∠3 and ∠5: They are alternate interior angles as they are between the two parallel lines and on opposite sides of the transversal.
• For ∠3 and ∠6: They are corresponding angles as they are in the same relative position with respect to the transversal and the parallel lines.
• For ∠4 and ∠5: They are same - side interior angles as they are between the two parallel lines and on the same side of the transversal.
• For ∠2 and ∠7: They are alternate exterior angles as they are outside the two parallel lines and on opposite sides of the transversal.
• For ∠3 and ∠7: They are corresponding angles as they are in the same relative position with respect to the transversal and the parallel lines.

Answer:

∠3 and ∠5: Alternate Interior Angles
∠3 and ∠6: Corresponding Angles
∠4 and ∠5: Same - Side Interior Angles
∠2 and ∠7: Alternate Exterior Angles
∠3 and ∠7: Corresponding Angles