Transversal t cuts parallel lines r and s. Which angles must be congruent to 2?
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Answer:
A.) ∠3, ∠6, and∠7
If you have a protractor, that would help you alot :) but I hope this help you!
Answer:
A. ∠3, ∠6 and ∠7.
Step-by-step 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.