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Math Help - quadrillateral

  1. #1
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    quadrillateral

    In a quadrilateral ABCD, AB produced is perpendicular to DC produced.
    If A = 44 and C = 148, calculate D and B.
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  2. #2
    Member SengNee's Avatar
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    Quote Originally Posted by hi00000 View Post
    In a quadrilateral ABCD, AB produced is perpendicular to DC produced.
    If A = 44 and C = 148, calculate D and B.


    Is it looks like this?

    What are the meanings of A=44 and C=148?
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  3. #3
    MHF Contributor
    Grandad's Avatar
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    Angles

    Hello hi00000
    Quote Originally Posted by hi00000 View Post
    In a quadrilateral ABCD, AB produced is perpendicular to DC produced.
    If A = 44 and C = 148, calculate D and B.
    Suppose that AB and DC produced meet at E. Then in \triangle ADE, A=44^o, E= 90^o \Rightarrow D=46^o

    In \triangle BCE, B=180-148=32^o \Rightarrow C = 58^o. So in the quadrilateral ABCD, C = 180-58 = 22^o.

    Grandad
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