Question

In the diagram, PQ←→ ∥ RS←→ , and transversal t intersects both lines.

Select all of the true statements.


1. ∡7 ≅ ∡6 because they are vertical angles

2. ∡7 ≅ ∡5 because they are corresponding angles

3. ∡7 ≅ ∡2 because they are alternate exterior angles

4. ∡7 ≅ ∡1 because they are alternate exterior angles

Answer 1

1st and 3rd statements are correct

1) ∡7≅∡6

3) ∡7≅∡2

Explanation:

2) 1) ∡7 is not congruent to ∡5 because they are supplementary (they form a straight line)

4) ∡7 is not congruent to ∡1 because they are on the same side of the transversal; they do not alternate