9th Class Mathematics Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    Two adjacent angles of a parallelogram are in the ratio 2 : 3. The angles are

    A) \[{{90}^{o}},\,\,{{180}^{o}}\]

    B)        \[{{36}^{o}},\,\,{{144}^{o}}\]

    C)        \[{{72}^{o}},\,\,{{108}^{o}}\]

    D)        \[{{52}^{o}},\,\,{{104}^{o}}\]

    Correct Answer: C

    Solution :

    Let the adjacent angles of a parallelogram be \[2x\]and \[3x\]and sum of adjacent angles of parallelogram is \[{{180}^{o}}.\] \[\therefore \]\[2x+3x={{180}^{o}}\] \[\Rightarrow \]\[5x={{180}^{o}}\Rightarrow x={{36}^{o}}\] \[\therefore \]Angles are \[{{72}^{o}}\]and\[{{108}^{o}}.\]


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