Proving Lines Parallel Answers

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Lines c and d are parallel lines cut by transversal p.

Question illustration
A
∠1 ≅ ∠7
B
∠2 ≅ ∠6
C
∠3 ≅ ∠5
D
∠5 ≅ ∠7
3

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.

Question illustration
A
alternate interior angles theorem
B
alternate exterior angles theorem
C
converse alternate interior angles theorem
D
converse alternate exterior angles theorem
6

Lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase right angle is 110 degrees. At the intersection of lines b and e, the uppercase right angle is 110 degrees. At the intersection of lines b and f, the bottom right angle is 80 degrees.

Question illustration
A
Lines a and b are parallel because their corresponding angles are congruent.
B
Lines a and b are parallel because their same side exterior angles are congruent.
C
Lines e and f are parallel because their corresponding angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are supplementary.

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