Multiple Choice Questions on In the given figure if AB CD then ang FXE is equal to ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

In the given figure if AB CD then ang FXE is equal to ........

Quantitative Aptitude ( CCS) Geometry
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    In the given figure, if AB || CD, then ∠FXE is equal to :

    30°

    Incorrect Answer

    50°

    Incorrect Answer

    70°

    Incorrect Answer

    80°

    Correct Answer
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    Explanation:
    As per the given figure,
    ∠BFE = ∠CEF = 110° (alt. ∠s).
    So, ∠XFE = ∠BFE ? ∠BFX = (110° ? 50°) = 60°.
    And on straight line CD,
    110° + ∠FEX + 30° = 180°
    ⇒ ∠FEX = 40°.
    Now, ∠XFE + ∠FEX + ∠FXE = 180°
    ⇒ 60° + 40° + ∠FXE = 180°.
    ∴ ∠FXE = 80°.

    By: Amit Kumar
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