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Complementary and Supplementary Angles quiz

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  • What is the sum of two complementary angles?
    The sum of two complementary angles is 90 degrees.
  • What is the sum of two supplementary angles?
    The sum of two supplementary angles is 180 degrees.
  • How do you find the complement of a 30-degree angle?
    Subtract 30 from 90; the complement is 60 degrees.
  • How do you find the supplement of a 30-degree angle?
    Subtract 30 from 180; the supplement is 150 degrees.
  • What is the complement of a 20-degree angle?
    The complement is 70 degrees, since 90 - 20 = 70.
  • What is the supplement of a 20-degree angle?
    The supplement is 160 degrees, since 180 - 20 = 160.
  • Does a 100-degree angle have a complement?
    No, because its complement would be negative, which is not allowed.
  • What is the supplement of a 100-degree angle?
    The supplement is 80 degrees, since 180 - 100 = 80.
  • In a right triangle, what is the relationship between the two non-right angles?
    The two non-right angles are complementary and add up to 90 degrees.
  • If two angles are x and x + 10 and are complementary, what equation can you set up?
    You can set up the equation x + (x + 10) = 90.
  • If x + (x + 10) = 90, what is the value of x?
    x = 40, since 2x + 10 = 90 leads to 2x = 80, so x = 40.
  • What are the measures of the two complementary angles if one is x and the other is x + 10?
    The angles are 40 degrees and 50 degrees.
  • What mnemonic can help you remember complementary and supplementary angles?
    Complementary angles form corners (C with C), and supplementary angles form straight lines (S with S).
  • What do you do if an angle is given as a variable and you need to find its complement or supplement?
    Set up an equation where the sum equals 90 for complement or 180 for supplement, then solve for the variable.
  • Why can't angles greater than 90 degrees have a complement?
    Because their complement would be negative, which is not a valid angle measure.