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
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: By definition, supplementary angles are two angles that add up to 180°.
B. The sum of complementary angles is 180°.
- Always true: By definition, complementary angles are two angles that add up to 90°. Therefore, if you add two complementary angles together, you get 180°.
C. Two adjacent angles are complementary.
- Sometimes true: Adjacent angles are two angles that have a common vertex and a common side, but they do not have to be complementary. Adjacent angles can be any two angles that satisfy the given condition.