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9 August, 02:39

The four angles of a quadrilateral are in the ratio 4:5:2:7. find the measures of all the angles

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  1. 9 August, 06:00
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    80 : 100: 40: 140

    Step-by-step explanation:

    The four angles of a quadrilateral add to 360 degrees.

    Ratio

    4 : 5 : 2: 7

    Multiply each by x

    4x: 5x : 2x : 7x This total is 360 degrees

    4x+5x + 2x+7x = 360

    18x = 360

    Divide each side by 18

    18x/18 = 360/18

    x = 20

    The angles are

    4x: 5x : 2x : 7x

    4 (20) : 5 (20) : 2 (20) : 7 (20)

    80 : 100: 40: 140
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