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Math Help - Arithmetic Squence Quadralateral Question HELP

  1. #1
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    Arithmetic Squence Quadralateral Question HELP

    Hi, I can't seem to solve this problem. I can't find the last known variable (d). Here it is:

    The interior angles of a quadrilateral are in an arithmetic squence. If the largest angile is 96 degrees, find the other angles.

    So the formula is tn=a+d(n-1)
    We know:
    a=6
    n=4? or 1?
    d=?
    tn=360

    I don't know what d should be. Or am I suppose to solve for n? The answers at the back of the book are 84, 88, 92 meaning d is -4.

    Please tell me how to approach this question. Thanks.
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  2. #2
    Senior Member TheAbstractionist's Avatar
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    If the largest angle is 96, the other angles are (96-d)^\circ, (96-2d)^\circ, and (96-3d)^\circ. Using the fact that the sum of these angles is 360, you should be able to find d and hence the other angles.
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  3. #3
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    thanks!!
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