What are complementary angles?

What are complementary angles?

• A. Complementary angles sum to 180 degrees
• B. Complementary angles are two angles whose sum is 90 degrees
• C. Complementary angles are angles that are equal
• D. Complementary angles are angles that share a common vertex

Answer: (B)

Complementary angles are defined as two angles whose measures add up to 90 degrees. This property highlights the relationship between the two angles; when combined, they form a right angle. This concept is fundamental in geometry, particularly when dealing with angle relationships in various shapes and in solving problems involving right triangles. The idea is that if you know one angle's measure, you can easily find the other by subtracting from 90 degrees. For instance, if one angle measures 30 degrees, the complementary angle would measure 60 degrees, since 30 + 60 = 90. This property is often used in a variety of mathematical applications, including trigonometry and geometry, to find unknown angles or in proving certain geometric properties.

Complementary angles are defined as two angles whose measures add up to 90 degrees. This property highlights the relationship between the two angles; when combined, they form a right angle. This concept is fundamental in geometry, particularly when dealing with angle relationships in various shapes and in solving problems involving right triangles.

The idea is that if you know one angle's measure, you can easily find the other by subtracting from 90 degrees. For instance, if one angle measures 30 degrees, the complementary angle would measure 60 degrees, since 30 + 60 = 90. This property is often used in a variety of mathematical applications, including trigonometry and geometry, to find unknown angles or in proving certain geometric properties.