Question

Transversal t cuts parallel lines r and s. Which angles must be congruent to 2?

Answer 1

A.) ∠3, ∠6, and∠7

If you have a protractor, that would help you alot :) but I hope this help you!

Answer 2

A. ∠3, ∠6 and ∠7.

Explanation:

Given,

r ║ s

Also, t is the common transversal of parallel lines r and s,

By the given diagram,

∠2 and ∠3 are vertical angles,

By vertically opposite angle theorem,

∠2 ≅ ∠3,

∠2 and ∠6 are corresponding angle,

By the corresponding angle theorem,

∠2 ≅ ∠6,

∠2 and ∠7 are alternate exterior angles,

By the alternate exterior angle theorem,

∠2 ≅ ∠7

Hence, Option 'A' is correct.