6th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    If two adjacent angles of a parallelogram are in the ratio 3 : 2, then the measure of the angles are

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

    B)          \[72{}^\circ \], \[36{}^\circ \]

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

    D)          \[144{}^\circ \], \[36{}^\circ \]

    Correct Answer: A

    Solution :

         Let the angles be 3x and 2x. We have,         \[3x\text{ }+\text{ }2x\text{ }=\text{ }180{}^\circ \] \[5x\text{ }=\text{ }180{}^\circ \] \[x\text{ }=\text{ }36{}^\circ \] \[\therefore \] The angles are \[36\times 3,\,\,36\times 2={{108}^{\text{o}}},\,{{72}^{\text{o}}}\]


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