Meaning & use
complementary angles
Last updated
“complementary angles” is a form of “complementary angle”. See that entry for the full set of meanings.
Meaning
nounplural
Two angles whose sizes add up to exactly 90 degrees, so that together they make a right angle.
Grammar: Always about a pair: two angles are complementary angles; one is the complement of the other.
Patterns
- angles that are complementary to each other
A 30-degree angle and a 60-degree angle are complementary angles.
In a right triangle, the two sharp corners are complementary angles.
If one of two complementary angles measures 25 degrees, the other must measure 65 degrees.
Word forms
| singular | complementary angle |
|---|
Common combinations
- pair of complementary angles
- Find a pair of complementary angles in the diagram.
- two complementary angles
- Two complementary angles share a right angle between them.
- measure of complementary angles
- The measure of complementary angles always totals 90 degrees.
- adjacent complementary angles
- Adjacent complementary angles form a right angle.
- find the complement
- To find the complement, subtract the angle from 90.
Synonyms and how they differ
- angles summing to 90 degrees
- This phrase explains the idea in plain words, while complementary angles is the exact name.
- supplementary angles
- Supplementary angles are not a synonym but a related pair that adds up to 180 degrees instead of 90.
Word family
- complement noun
- the angle that, added to another, makes 90 degrees
- complementary adjective
- adding up to 90 degrees, or going well together
- supplementary angles noun
- two angles totaling 180 degrees
- right angle noun
- an angle of exactly 90 degrees
Commonly confused: complementary angles or complementary vs. complimentary?
complementary angles vs complementary vs. complimentary
Complementary means completing or adding up to something, while complimentary means free of charge or expressing praise.
Practice
If one of two complementary angles measures 35 degrees, the other measures ___ degrees.
Choose one answer.
Complementary angles add up to 90, and 90 minus 35 is 55. The answer 145 would be for supplementary angles, which total 180.
Make it your own
Write a sentence using “complementary angles”, then check it and compare it with the examples above.