What Does Supplementary Mean in Geometry?

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QUESTION: What does “supplementary” mean in geometry

ANSWER: Two angles are supplementary if the sum of their measures is 180°.

EXPLANATION: If angle A and angle B are supplementary then m∠A + m∠B = 180°. For example, if one angle is 110°, its supplementary angle is 70° because 110° + 70° = 180°. A pair of adjacent supplementary angles that form a straight line is called a linear pair.

KEY CONCEPTS:

  1. Supplementary angles
  • Definition: Two angles whose measures add to 180°.
  • This problem: Used to find a missing angle when one angle is given.
  1. Linear pair
  • Definition: Two adjacent angles formed by a straight line; they are supplementary.
  • This problem: Often appears when angles on a line or transversal problems are involved.

:warning: COMMON MISTAKE:

  • Mistake: Confusing supplementary with complementary.
  • Correction: Complementary angles sum to 90°, while supplementary angles sum to 180°.

Feel free to ask if you have more questions! :rocket: