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.
A. The sum of the measures of two supplementary angles is 180°.
Always true. Supplementary angles are defined as two angles that add up to 180°.
B. The sum of complimentary angles is 180°.
Never true. Complimentary angles are defined as two angles that add up to 90°, not 180°.
C. Two adjacent angles are complementary.
Sometimes true. Adjacent angles are angles that have a common vertex and a common side. If these angles add up to 90°, then they are complementary. However, adjacent angles can also be any other angle measure, in which case they would not be complementary.