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Why do complementary or supplementary angles not have to be adjacent? Why are vertical angles always congruent? Justify your answers.

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Answer:

Complementary angles do not have to be adjacent because they add up to 90 degrees, regardless of their placement. Vertical angles are always congruent because two intersecting lines will always form four angles that are equal in measure. The pairs of opposite angles which are formed by two intersecting lines will always be equal in measure.

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