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Math Help - Complement and Supplement of an angle

  1. #1
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    Complement and Supplement of an angle

    Find the measure of angle A if 5 times the complement of angle A is 150 greater than the supplement of angle A.

    I have this
    Let s be supplement and c be complement.
    180-A = s
    90-A= c


    5c-150= s
    I plugged the above in.

    5c-150=180-A
    Then plugged in my definition for c.
    5(90-A) - 150 = 180 - A
    450-5A + A=180 + 150
    -4A=330-450
    -4A=-120
    A= 30.

    Huh. That's strange I got it right this time.
    ANyway, there must be an easier way to do this. I think I used some things the book hadn't taught yet.

    Thanks!
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  2. #2
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    Quote Originally Posted by Truthbetold View Post
    Find the measure of angle A if 5 times the complement of angle A is 150 greater than the supplement of angle A.

    I have this
    Let s be supplement and c be complement.
    180-A = s
    90-A= c


    5c-150= s
    I plugged the above in.

    5c-150=180-A
    Then plugged in my definition for c.
    5(90-A) - 150 = 180 - A
    450-5A + A=180 + 150
    -4A=330-450
    -4A=-120
    A= 30.

    Huh. That's strange I got it right this time.
    ANyway, there must be an easier way to do this. I think I used some things the book hadn't taught yet.

    Thanks!
    You have the right answer and, no, there isn't an easier way to do this. You did it just fine!

    -Dan
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