Three angles of quadrilateral are respectively equal to 123° , 50° , 40° find its fourth angle .

Question

Three angles of quadrilateral are respectively equal to 123° , 50° , 40° find its fourth angle .

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Arianna 1 month 2021-08-19T07:34:31+00:00 2 Answers 0 views 0

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    0
    2021-08-19T07:35:37+00:00

    Answer:

    147°

    Step-by-step explanation:

    In a quadrilateral,

    Let the forth angle be ‘x:

    Sum of all angles = 360°

    123 + 50 + 40 + x = 360

    213 + x = 360

    x = 360 – 213

    x = 147°

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    0
    2021-08-19T07:35:56+00:00

    Answer:

    147 degree

    Step-by-step explanation:

    As, we know that the sum of all angles of a quadrilateral is 360 degree. [ because when the quadrilateral gets divided into two parts by a transversal then 2 triangles are formed. And we know that the sum of the angles of a triangle is 180 degree. Therefore 2 triangles then 180 + 180 = 360 degree.]

    123degree + 50 degree + 40 degree + x degree = 360 degree

    ( 123+50+40) + x degree = 360 degree

    213degree + x degree = 360 degree

    x degree = 360 degree 213 degree

    x degree = 147 degree

    THEREFORE, 4th ANGLE = 147 degree

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