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7th Class Mathematics The Triangle and its Properties Question Bank The Triangle and Its Properties

  • question_answer
    In the figure, ABCD is a rectangle, \[\Delta CEF\]is an equilateral triangle. Find x.

    A)  \[{{25}^{o}}\]                                

    B)  \[{{30}^{o}}\]               

    C)                     \[{{20}^{o}}\]               

    D)         \[{{50}^{o}}\]                                

    Correct Answer: A

    Solution :

    It is given that, ABCD is a rectangle \[\therefore \]  \[\angle ADC={{90}^{o}}\] In \[\Delta \,ADC,\] \[\angle DAC+\angle ADC+\angle DCA={{180}^{o}}\]             (Angle sum property) \[\Rightarrow \]  \[{{65}^{o}}+{{90}^{o}}+x={{180}^{o}}\Rightarrow x={{25}^{o}}\]


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