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What is the relationship between vertical angles?

  1. They are always complementary

  2. They are always supplementary

  3. They are always equal

  4. They are never equal

The correct answer is: They are always equal

Vertical angles are formed when two lines intersect, creating pairs of opposite angles. The defining characteristic of vertical angles is that they are always equal in measure. This occurs because the two intersecting lines create congruent angles on either side of the intersection point. Therefore, if one angle measures, for example, 50 degrees, the angle directly opposite it will also measure 50 degrees. This fundamental property of vertical angles is a well-established rule in geometry, thus making the correct answer the statement that they are always equal.