Find tha smallest angle of quadrilateral angle are in ratio 2:3:4:6

Question

Find tha smallest angle of quadrilateral angle are in ratio 2:3:4:6

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Ximena 1 month 2021-08-17T08:11:36+00:00 2 Answers 0 views 0

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    0
    2021-08-17T08:12:50+00:00

    Answer:

    48

    Step-by-step explanation:

    Let the angles be = 2x , 3x , 4x and 6x

    Sum of all angles of quadrilateral = 360

    ==: 2x + 3x + 4x + 6x = 360

    ==: 15x = 360

    ==: x = 24

    Angles = 48 , 73 , 96 and 144

    Smallest angle = 48

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    0
    2021-08-17T08:12:55+00:00

    SOLUTION:-

    Given

    ▪︎ Ratio of angles 2:3:4:6

    To find

    ▪︎ Smallest angle

    Explanation

    We know that,

    Sum of all angles of a Quadrilateral is 360

    Let Quadrilateral be ABCD

    So, angles are A,B,C,D

    According to question

    A:B:C:D= 2:3:4:6

    Let angles be

    A= 2x

    B= 3x

    C= 4x

    D= 6x

    Now

    Sum of all angles of a quadrilateral =360

    A+B+C+D= 360

    2x+3x+4x+6x=360

    15x=360

    x= 360/15

    x= 24°

    Now, Angles are ⤵️⤵️

    A=2x= 2×24= 48°

    B= 3x= 3×24= 72°

    C= 4x= 4×24= 96°

    D= 6x= 6×24= 144°

    So , Smallest angle is A= 48°

    ___________________________

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