1. The angles of quadrilateral are in the ratio 3:59: 13. Find all the angles of the quadrilateral. ​

Question

1. The angles of quadrilateral are in the ratio 3:59: 13. Find all the angles of the
quadrilateral.

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Samantha 3 weeks 2021-10-04T14:58:29+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-04T14:59:48+00:00

    Step-by-step explanation:

    ratio  = >  \:  \: 3:5:9:13

    3x + 5x + 9x + 13x = 360

    (angle \: sum \: property \: of \: quadrilateral)

    30x = 360

    x =  \frac{360}{30}  =  \frac{36}{3}  = 12

    angles \: are \:  \\  => 3x = 3(12) = 36 \\  =  > 5x = 5(12) = 60 \\  =  > 9x = 9(12) = 108 \\  =  > 13x = 13(12) = 156

    hope it’s helpful

    0
    2021-10-04T14:59:58+00:00

    As – total angle of quadrilateral=360°.

    So,

    Let angle are- 3x, 59x and 13x.

    So,

    3x+59x+13x=360°

    75x=360°

    x=360°/75

    x=24/5

    So, when x=24/5.

    (3x)=72/5

    (59x)=(24/5)*59

    (13x)=(24/5)*13

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