Question

Two vertical angles form a linear pair.

Answer 1

Answer: C) Always false

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Explanation:

A linear pair of angles satisfy these two requirements (both must be true)

1. The angles are adjacent
2. The angles are supplementary, ie they add to 180.

While it is possible for vertical angles to be supplementary (they both are 90), it is not possible for vertical angles to be adjacent. This is because vertical angles do not share a common side. Vertical angles are opposite one another, so they are as far from adjacent as possible, while still sharing a common vertex point however.

This means that vertical angles are never considered to be a linear pair. Put another way, you can ask yourself "can vertical angles form a straight line?". The answer is "they can never form a straight line". Again the fact they aren't adjacent is the reason why.