Question

Could someone help answer this question?

Use the diagram below to match the angle pair with the relationship type. (You may use an angle relationship twice. You will not use all the angle relationship types)

Answer 1

By using the diagram above, the angle pair should be matched with the relationship type as follows;

∠1 and ∠8 ↔ Alternate Exterior Angles.

∠6 and ∠7 ↔ Same-side interior angles.

∠5 and ∠7 ↔ Corresponding angles.

The Alternate Exterior Angles Theorem states that when two parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent;

∠1 and ∠8

The same-side interior angles postulate states that two lines are parallel when two lines and a transversal form supplementary same side interior angles.

∠6 and ∠7

The corresponding angles theorem is a theorem which states that corresponding angles are always congruent when the transversal intersects two parallel lines;

∠5 and ∠7