Which lines, if any, must be parallel based on the given information? Justify your conclusion.

Mathematics

2 answers:

77julia77 [94]3 years ago

7 0

A must be parallel to b.

Proof:
∠3 = ∠13 (given)
∠15 = ∠13 (vertically opposite angles are equal)
Since ∠13 = ∠3 and ∠13 = ∠15, ∠15 = ∠3

Then, a must be parallel to b (transverse line d cuts parallel lines producing converse alternate angles that are equal (ie ∠15 = ∠3))

Ivanshal [37]3 years ago

7 0

Answer:

Step-by-step explanation:

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