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8th Class Mathematics Understanding Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    The sides QP and SR of quadrilateral PQRS are produced as shown in figure Also, \[(\mathbf{PQ}\parallel \mathbf{SR})\]. Then which of the following statements is correct?

    A)  \[2{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}\]            

    B)  \[{{x}^{{}^\circ }}+\frac{1}{2}{{y}^{{}^\circ }}=\frac{{{a}^{{}^\circ }}+{{b}^{{}^\circ }}}{2}\]

    C)  \[{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}\]     

    D)  \[{{x}^{{}^\circ }}+{{a}^{{}^\circ }}={{y}^{{}^\circ }}+{{b}^{{}^\circ }}\]

    Correct Answer: C

    Solution :

    (c): \[PQ\parallel SR\Rightarrow {{x}^{{}^\circ }}={{a}^{{}^\circ }}\text{; }{{y}^{{}^\circ }}={{b}^{^{{}^\circ }}}\] \[{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}.\]


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