5th Class Mathematics Geometry Question Bank Geometry

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

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

    B)  \[{{72}^{o}},{{108}^{o}},{{70}^{o}},{{110}^{o}}\]

    C)  \[{{80}^{o}},{{100}^{o}},{{80}^{o}},{{100}^{o}}\]                  

    D) None of these

    Correct Answer: A

    Solution :

     \[2x+3x={{180}^{o}}\] \[5x={{180}^{o}}\] \[x={{36}^{o}}\] Hence, angles are \[{{72}^{o}}\] and \[{{108}^{o}}\] respectively. As opposite angle of parallelogram are equal. Therefore, measure of all angles are \[{{72}^{o}}\], \[{{108}^{o}}\],\[{{72}^{o}}\], \[{{108}^{o}}\].           


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