the sum of two angles of aquadilateral is 150 the remaining two angle are in ratio 3:4 find the angle​

Question

the sum of two angles of aquadilateral is 150 the remaining two angle are in ratio 3:4 find the angle​

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Hailey 2 weeks 2021-10-01T15:54:21+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-01T15:55:29+00:00

    Step-by-step explanation:

    Let in quad ABCD

    A + B = 150

    C = 3x

    D= 4x

    Using

    the sum of interior angle of quad is 360

    therefore

    A + B + C + D = 360

    150 + 3x + 4x = 360

    7x = 210

    x = 30

    C = 3×30=90

    D = 4×30= 120

    0
    2021-10-01T15:56:02+00:00

    Answer:

    the remaining two angles are 90° and 120°

    Step-by-step explanation:

    given,

    two angles = 150°

    another two angles are in the ratio 3:4 ,let the ratios be x, we get 3x & 4x

    we know that sum of all angles in a quadrilateral is 360°

    we get , 150°+3x+4x = 360°

    150°+7x = 360°

    7x = 360°-150°

    7x = 210°

    x = 210°/7

    x = 30°

    therefore third angle = 3x = 3×30° = 90°

    and fourth angle = 4x = 4×30° = 120°

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