Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What term describes angles that sum to make a straight angle?

  1. Adjacent angles

  2. Complementary angles

  3. Vertical angles

  4. Supplementary angles

The correct answer is: Supplementary angles

The term that describes angles that sum to make a straight angle is supplementary angles. Supplementary angles are defined as two angles whose measures add up to 180 degrees. A straight angle itself measures exactly 180 degrees, so any two angles that combine to form it fit this definition. For instance, if one angle measures 110 degrees, the supplementary angle would measure 70 degrees because 110 + 70 equals 180 degrees. This understanding is crucial when working with different angles in geometry, as identifying supplementary angles helps in various geometric proofs and constructions. Adjacent angles could refer to angles that share a common side and vertex, but they do not necessarily sum to 180 degrees. Complementary angles are those that add up to 90 degrees, and vertical angles are formed when two lines intersect and are always equal to each other but do not pertain to the sum of 180 degrees.