10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    The angles A, B, C and D in order in a cyclic quadrilateral are \[(2x+y){}^\circ ,(2(x+y)){}^\circ ,(3x+2y){}^\circ ,\] and \[(4x-2y){}^\circ \]. Find their measures in the same order.

    A)  \[70{}^\circ ,\text{ }110{}^\circ ,\text{ }80{}^\circ ,\text{ }100{}^\circ \]       

    B)  \[70{}^\circ ,\text{ }80{}^\circ ,\text{ }110{}^\circ ,\text{ }100{}^\circ \]

    C)  \[70{}^\circ ,\text{ }80{}^\circ ,\text{ }100{}^\circ ,\text{ }110{}^\circ \]                 

    D)  \[80{}^\circ ,\text{ }100{}^\circ ,\text{ }110{}^\circ ,\text{ }70{}^\circ \]

    Correct Answer: B

    Solution :

    (b): \[(2x+y)+(3x+2y)=180{}^\circ \]?????..(1) Also, \[2(x+y)+(4x-2y)=180{}^\circ \]   ?????(2) Sole for ?x? and ?y? find \[\angle les\].


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