Meaning & use
supplementary angles
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Meaning
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?
Choose one answer.
Supplementary angles add up to 180 degrees, so the supplement of 65 is 115. The 25 degrees option is the complement, which adds to 90.
Make it your own
Write a sentence using “supplementary angles”, then check it and compare it with the examples above.