Given: Lines a and b are parallel and line c is a transversal.
Prove: ∠2 is supplementary to ∠8


What is the missing reason in the proof?

Statement Reason
1. a || b, is a transv 1. given
2. ∠6 ≅ ∠2 2. ?
3. m∠6 = m∠2 3. def. of congruent
4. ∠6 is supp. to ∠8 4. def. of linear pair
5. ∠2 is supp. to ∠8 5. congruent supplements theorem

A: vertical angles theorem

B: alternate interior angles theorem

C: corresponding angles theorem

D: alternate exterior angles theorem

Given Lines a and b are parallel and line c is a transversal Prove 2 is supplementary to 8 What is the missing reason in the proof Statement Reason 1 a b is a t class=

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Answer:

  • C: corresponding angles theorem

Step-by-step explanation:

The angles in matching corners are called Corresponding Angles.

The Corresponding Angles Theorem: If a transversal cuts two parallel lines, their corresponding angles are congruent

  • ∠6 ≅ ∠2 as per above statement

Correct answer choice is C.

Answer:

A

Step-by-step explanation:

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