8th Class Mental Ability Geometry Question Bank Geometry

  • question_answer Find the value of x and y from the parallelogram given below.

    A) \[x=5,\text{ }y=146\]

    B) \[x=65,\text{ }y=115\]

    C) \[x=8.125,\text{ }y=129.3\]

    D) Cannot be determined

    E) None of these

    Correct Answer: A

    Solution :

    Explanation Option [a] is correct. From the figure given in question \[2.5y-250=0.5y+42\] (opposite angles of a parallelogram are equal) \[\Rightarrow ~2.5y-0.5y=250+42\] \[\Rightarrow ~2y=292\] \[\Rightarrow y=146\] Similarly, \[2x+55=14x-5\] (opposite angles of a parallelogram are equal) \[\Rightarrow ~2x-14x=-5-55\] \[\Rightarrow ~-\text{ }12x=-60\] \[\Rightarrow x\text{ }=\text{ }5\] Thus, \[x=5,\text{ }y=146\]

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