Meaning & use

supplementary angles

noun·Academicmathematicstechnical

Last updated

UK/ˌsʌplɪˈmentri ˈæŋɡlz/
US/ˌsʌpləˈmentəri ˈæŋɡlz/

Meaning

  1. nounpluralmathematicstechnical

    Two angles whose sizes add up to exactly 180 degrees, so that together they form a straight line.

    Grammar: Plural: supplementary angles are always a pair. For one angle you say it is the supplement of another.

    Patterns

    • supplementary angles of something
    • angles that are supplementary

    An angle of 110 degrees and one of 70 degrees are supplementary angles.

    When two lines cross, the neighboring angles are supplementary angles.

    If one of two supplementary angles is acute, the other must be obtuse.

Common combinations

a pair of supplementary angles
Each pair of supplementary angles in the diagram adds up to 180 degrees.
find the supplementary angle
To find the supplementary angle, subtract from 180.
supplementary angles add up to
Supplementary angles add up to 180 degrees.
linear pair
A linear pair is a set of supplementary angles that share a side.
adjacent supplementary angles
Adjacent supplementary angles lie side by side on a straight line.

Synonyms and how they differ

supplement
In geometry, a supplement is one angle of the pair, whereas supplementary angles names the two together.
linear pair
A linear pair is a special case where the two supplementary angles sit next to each other along a line.

Word family

supplement noun
something added, or in geometry, the angle that adds to another to make 180 degrees
supplementary adjective
added as an extra, or making 180 degrees with another angle
complementary angles noun
two angles that together make 90 degrees
angle noun
the amount of turn between two lines that meet

Commonly confused: supplementary angles or complementary angles?

supplementary angles vs complementary angles

Complementary angles add up to 90 degrees and make a right angle together. Supplementary angles add up to 180 degrees. A tip is that C comes before S in the alphabet and 90 comes before 180.

Practice

Angle A measures 65 degrees. Which angle is its supplement?

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