What does it mean if two angles are complementary?

What does it mean if two angles are complementary?

• A. Their sum equals 90 degrees
• B. Their sum equals 180 degrees
• C. They are both acute angles
• D. Their exterior angles sum to 90 degrees

Answer: (A)

If two angles are complementary, this means that the sum of their measures equals 90 degrees. This relationship is a fundamental concept in geometry that helps in solving various problems involving angles. For example, if one angle measures 30 degrees, its complement would measure 60 degrees because 30 + 60 = 90. Complementary angles can be acute or one acute and the other obtuse; however, both need not be acute as implied in another option. Additionally, complementary angles do not pertain to exterior angles or the sum reaching 180 degrees, which relates to supplementary angles instead. Understanding this concept is crucial when working with angles in various mathematical contexts.

If two angles are complementary, this means that the sum of their measures equals 90 degrees. This relationship is a fundamental concept in geometry that helps in solving various problems involving angles. For example, if one angle measures 30 degrees, its complement would measure 60 degrees because 30 + 60 = 90.

Complementary angles can be acute or one acute and the other obtuse; however, both need not be acute as implied in another option. Additionally, complementary angles do not pertain to exterior angles or the sum reaching 180 degrees, which relates to supplementary angles instead. Understanding this concept is crucial when working with angles in various mathematical contexts.