9th Class Mathematics Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    If an angle of a parallelogram is four-fifths of its adjacent angle, find the angles of the parallelogram.

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

    B)         \[{{90}^{o}},\,\,{{90}^{o}},\,\,{{90}^{o}}\]

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

    D)         \[{{30}^{o}},\,\,{{150}^{o}},\,\,{{30}^{o}},\,\,{{100}^{o}}\]

    Correct Answer: C

    Solution :

    Let one angle be \[x.\] \[\therefore \]\[\frac{4}{5}x=\]another angle Now, \[x+\frac{4x}{5}={{180}^{o}}\] \[\Rightarrow \]\[x={{100}^{o}}\] \[\therefore \]\[\frac{4x}{5}=\frac{4}{5}\times {{100}^{o}}={{80}^{o}}\]


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