Meaning & use

complementary angles

noun·Academicmathematics

Last updated

UK/ˌkɒmplɪˌmentri ˈæŋɡlz/
US/ˌkɑːmplɪˌmentri ˈæŋɡlz/

“complementary angles” is a form of “complementary angle”. See that entry for the full set of meanings.

Meaning

  1. 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

singularcomplementary 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.

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