8th Class Mathematics Understanding Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    In fig. BEST is a parallelogram. Find the value x, y and z

    A)  \[{{100}^{{}^\circ }},{{90}^{{}^\circ }},{{70}^{{}^\circ }}\]                  

    B)  \[{{90}^{{}^\circ }},{{60}^{{}^\circ }},{{70}^{{}^\circ }}\]

    C)  \[{{60}^{{}^\circ }},{{110}^{{}^\circ }},{{70}^{{}^\circ }}\]                  

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

    Correct Answer: D

    Solution :

    (d): By property of \[\parallel gm\] \[\angle x={{100}^{{}^\circ }}\left( opp.\text{ }\angle s \right)\] \[\angle y=\angle x={{100}^{{}^\circ }}\left( corresponding\text{ }\angle s \right)\] \[\angle z={{180}^{{}^\circ }}-\angle y={{80}^{{}^\circ }}.\]


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