Answer:
∠5 and ∠7: Corresponding angles
∠1 and ∠8: Alternate exterior angles
∠3 and ∠6: Alternate interior angles
∠6 and ∠7: Consecutive interior angles
Explanation:
Corresponding Angles
When a transversal intersects two parallel lines, the pairs of angles formed that are in the same relative position are called corresponding angles. Therefore, ∠5 and ∠7 are corresponding angles as they are in the same relative position.
Alternate Exterior Angles
When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the alternate sides of the transversal are called alternate exterior angles. Therefore, ∠1 and ∠8 are alternate exterior angles.
Alternate Interior Angles
When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the alternate sides of the transversal are called alternate interior angles. Therefore, ∠3 and ∠6 are alternate interior angles.
Consecutive Interior Angles
When two parallel lines are intersected by a transversal, the angles that are inside the parallel lines and on the same side of the transversal are called consecutive interior angles. Therefore, ∠6 and ∠7 are consecutive interior angles.