What sum do complementary angles equal?

What sum do complementary angles equal?

• A. 90 degrees
• B. 180 degrees
• C. 270 degrees
• D. 360 degrees

Answer: (A)

Complementary angles are defined as two angles whose measures add up to 90 degrees. This means that if you have one angle, you can find its complement by subtracting its measure from 90 degrees. For example, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, since 30 + 60 = 90. In this context, knowing the definition of complementary angles directly leads to identifying the correct sum, which is consistently 90 degrees. This understanding is foundational in geometry, particularly when dealing with angles in various shapes and mathematical problems.

Complementary angles are defined as two angles whose measures add up to 90 degrees. This means that if you have one angle, you can find its complement by subtracting its measure from 90 degrees. For example, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, since 30 + 60 = 90.

In this context, knowing the definition of complementary angles directly leads to identifying the correct sum, which is consistently 90 degrees. This understanding is foundational in geometry, particularly when dealing with angles in various shapes and mathematical problems.