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19 February, 08:15

The ratio of the angle measures in a quadrilateral is 1:4:5:6 find each angle measure

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  1. 19 February, 08:30
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    Measures of each angle are: 22.5, 90, 112.5, and 135

    Step-by-step explanation:

    The ratio of the angle measures in a quadrilateral is 1:4:5:6

    1 + 4 + 5 + 6 = 16

    Sum of interior angles of a quadrilateral = 360

    360/16 = 22.5

    22.5 x 1 = 22.5

    22.5 x 4 = 90

    22.5 x 5 = 112.5

    22.5 x 6 = 135

    Ratio 1:4:5:6 = 22.5 : 90: 112.5 : 135

    Measures of each angle are: 22.5, 90, 112.5, and 135
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