Middle School

Classify the pair of angles.

A. adjacent and supplementary
B. adjacent and complementary
C. vertical and supplementary
D. vertical and complementary

Answer :

Final answer:

Adjacent and supplementary angles share a vertex and a side, and add up to 180 degrees. Adjacent and complementary angles also share a side and a vertex, but add up to 90 degrees. Vertical and supplementary, or complementary angles only share a vertex, and their measures add to 180 or 90 degrees, respectively.

Explanation:

In mathematics, different pairs of angles have different names, based on their relative positions and sizes. Adjacent and supplementary angles are two angles that share a vertex and a side, and their measures add up to 180 degrees. Adjacent and complementary angles also share a vertex and a side, but their measures add up to 90 degrees. Vertical and supplementary angles are two angles that share only a vertex and their measures add up to 180 degrees. Vertical and complementary angles also share just a vertex, but their measures add up to 90 degrees.

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A supplementary adds up to 180 degrees. It would be complementary because it adds up to 90 degrees.