9th Class Mathematics Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    \[ABCD\] is a rhombus such that one of its diagonals is equal to its side. Find the measure of the angles of rhombus\[ABCD\].

    A)  \[{{45}^{o}},\,\,{{135}^{o}},\,\,{{45}^{o}},\,\,{{135}^{o}}\]

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

    C)         \[{{120}^{o}},\,\,{{60}^{o}},\,\,{{120}^{o}},\,\,{{60}^{o}}\]

    D)         \[{{60}^{o}},\,\,{{60}^{o}},\,\,{{60}^{o}},\,\,{{60}^{o}}\]

    Correct Answer: C

    Solution :

    Adjacent sides of a rhombous are equal and since, one of the diagonals is equal to the side, each of the angles in the triangle with one of the sides as diagonal is \[{{60}^{o}}.\] Hence, the angles must be \[{{60}^{o}},{{120}^{o}},{{60}^{o}},{{120}^{o}}.\]


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