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Math Help - Find the measure of each angle in the quadrilateral.

  1. #1
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    Smile Find the measure of each angle in the quadrilateral.

    Find the measure of each angle in the quadrilateral:
    Angle S= 2x+20
    Angle R=3x-20
    Angle Q= x+10
    Angle T= 2x

    P.S= explain how you did it because i couldn't understand how to.
    Thanks.
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  2. #2
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    The four angles of a quadrilateral always add up to 360.

    So by adding all the angles given, we have:

     \angle S + \angle R + \angle Q + \angle T = (2x + 20)^\circ + (3x - 20)^\circ + (x + 10)^\circ + (2x)^\circ = 360^\circ

     8x + 10 = 360

    Now just solve for x. Once you've done that the angles should be an easy substitution and calculation.
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  3. #3
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    i did that and i got a decimal answer..i dont know what i did wrong
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  4. #4
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    There is nothing wrong with decimals. Not every angle can have a nice integer value.
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