Final answer:
Vertical angles and linear pairs do not provide enough information to prove that two lines are parallel.
Step-by-step explanation:
Vertical angles are angles that are opposite each other when two lines intersect. Linear pairs are a pair of adjacent angles that are formed by two intersecting lines. While vertical angles and linear pairs can provide some information about the relationship between angles, they do NOT provide enough information to prove that two lines are parallel.
To prove that two lines are parallel, additional information is needed, such as the measurement of specific angles or the presence of congruent angles formed by transversals. For example, one way to prove that two lines are parallel is by showing that the corresponding angles are congruent when a transversal intersects the lines.
In conclusion, vertical angles and linear pairs alone do NOT provide enough information to prove that two lines are parallel in mathematics.
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