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Math Help - Solving for angles - Thank You

  1. #1
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    Solving for angles - Thank You

    Two angles are complementary

    The sum of the measure of the first angle and 1/4 of the second angle is 62.25 degrees

    What is the measure of the small angle?

    what is the measure of the other angle?


    I tried, I really did, I know an angle is 90 degrees so x + y = 90 degrees

    Please help me with the rest, how do I figure out + 1/4 of the second angle to equal 62.25 degrees?
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  2. #2
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    given
    Two angles are complementary
    let two complementary are x and y
     \therefore x + y = 90 ....(1)

    according to second statement
    The sum of the measure of the first angle and 1/4 of the second angle is 62.25 degrees

     x+\frac{1}{4} y=
    62.25
    or
     4x+y=249 ........(2)

    solve the equation (1) and (2)


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  3. #3
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    Where did you get the 249 from on equation number (2)
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  4. #4
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    Hello OneidaFL
    Quote Originally Posted by OneidaFL View Post
    Where did you get the 249 from on equation number (2)
    Multiply both sides of the equation x + \frac14y = 62.25 by 4.

    On the right-hand side, 62.25 \times 4 = 249.

    Grandad
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