## complementary angles

### two angles with a sum of 90 degrees

Complementary angles are two angles whose measurements add up to 90 degrees. In other words, if you add the measure of one angle to the measure of its complement, the result will be 90 degrees. The term ‘complementary’ comes from the root word ‘complement’, which means to complete or make perfect.

Complementary angles are commonly found in geometry and trigonometry, where they play an important role in solving problems involving angles and triangles. For example, if you know that two angles in a triangle are complementary, you can use that information to find the measure of the third angle.

Some examples of complementary angles include:

– 30 degrees and 60 degrees (since 30 + 60 = 90)

– 45 degrees and 45 degrees (since 45 + 45 = 90)

– 20 degrees and 70 degrees (since 20 + 70 = 90)

It’s important to note that if two angles are complementary, they cannot both be acute (less than 90 degrees) – one angle must be acute and the other must be obtuse (greater than 90 degrees).

##### More Answers:

Understanding the Basics of Parallel Lines and Transversals: Corresponding, Alternate and Consecutive Angles ExplainedUnderstanding Intersecting Lines in Geometry: Properties and Examples

Understanding Supplementary Angles: Definition, Examples, and Real-life Applications