Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What defines supplementary angles?

  1. They add up to 90 degrees

  2. They are equal in measure

  3. They add up to 180 degrees

  4. They are adjacent angles

The correct answer is: They add up to 180 degrees

Supplementary angles are defined by the property that the measures of two angles add up to 180 degrees. This means that if you have one angle measuring 120 degrees, a supplementary angle would measure 60 degrees, since 120 + 60 equals 180. The concept of supplementary angles is commonly used in geometry, particularly when dealing with straight lines, where adjacent angles formed by a transversal intersecting two lines will always be supplementary. Understanding the nature of supplementary angles is crucial for solving various geometric problems and for proofs involving angles.

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