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Math Help - word problem

  1. #1
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    word problem

    in an experment a laser contacts a flat decetor so that one angle between the laser beam and the detector is 57 less than two times the other angle . what is the measurement of the larger angle
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  2. #2
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    Quote Originally Posted by jim1174
    in an experment a laser contacts a flat decetor so that one angle between the laser beam and the detector is 57 less than two times the other angle . what is the measurement of the larger angle
    This problem is not very well expressed, but let's assume that the two angles
    add up to 180 degrees.

    Let the angles be \theta and \phi. Then we have by assumption:

    \theta + \phi = 180.

    Now translation the question into an equation (assume \theta is the first angle):

    \theta=2 \phi-57.

    Now \theta=180-\phi, which can be substituted into the above
    equation to give:

    <br />
180-\phi=2\phi-57<br />
,

    So:

    <br />
3 \phi=180+57=237<br />
,

    hence \phi=79, and \theta=180-\phi=101.

    So the large angle is 101^{\circ}

    RonL
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