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Guilherme Mazui

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What is the Difference Between Complementary and Supplementary Angles?

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The difference between complementary and supplementary angles lies in the sum of their measures:

  • Complementary Angles: Two angles are called complementary if their measures add to 90 degrees. For example, if one angle is 60 degrees, the other angle would be 30 degrees, as 60 degrees + 30 degrees = 90 degrees. In a right-angled triangle, the two acute angles are complementary.
  • Supplementary Angles: Two angles are called supplementary if their measures add up to 180 degrees. For example, if one angle is 70 degrees, the other angle would be 110 degrees, as 70 degrees + 110 degrees = 180 degrees. Supplementary angles form a linear angle together.

In summary:

Complementary Angles Supplementary Angles
Sum is equal to 90 degrees Sum is equal to 180 degrees
Two angles complement each other Two angles supplement each other
These angles do not form a linear pair of angles These angles form a linear pair of angles
Meant only for right angles (90°) Meant only for straight angles (180°)

To remember the difference easily, you can practice problems and use tricks like "s" coming after "c" in the alphabet and 180 being greater than 90.

On this page
  • What is the Difference Between Complementary and Supplementary Angles?
  • Comparative Table: Complementary vs Supplementary Angles

    • Comparative Table: Complementary vs Supplementary Angles

    The difference between complementary and supplementary angles can be summarized as follows:

    Complementary Angles Supplementary Angles
    Two angles with a sum of 90 degrees Two angles with a sum of 180 degrees
    Form a right angle together Form a linear angle together

    In summary, complementary angles add up to 90 degrees and form a right angle together, while supplementary angles add up to 180 degrees and form a linear angle together.

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    Guilherme Mazui

    Guilherme Mazui is graduated in journalism from the Federal University of Minas Gerais (UFMG) and a master's degree in Communication from the University of São Paulo (USP). In addition, he has experience in advertising writing and has worked as a content editor in several companies.