Determine if each of the following statements is always true, sometimes true or never true. A. The sum of the measures of two supplementary angles is 180°. B. The sum of complimentary angles is 180°. C. Two adjacent angles are complementary. (3 points)

1 answer

Let's analyze each statement:

A. The sum of the measures of two supplementary angles is 180°.

  • Always True. By definition, supplementary angles are two angles whose measures add up to 180°.

B. The sum of complementary angles is 180°.

  • Never True. Complementary angles are defined as two angles that add up to 90°, not 180°.

C. Two adjacent angles are complementary.

  • Sometimes True. While adjacent angles can be complementary (for example, if one angle measures 30° and the adjacent angle measures 60°), they can also be supplementary (e.g., one measuring 120° and the adjacent one measuring 60°) or have other relationships. Therefore, this statement is only sometimes true.

In summary: A. Always True B. Never True C. Sometimes True