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8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    In a quadrilateral the angles are in the ratio 3:4:5:6. Then the difference between the greatest and the smallest angle is

    A)  \[\angle DAC={{54}^{o}}\]                      

    B)  \[\angle ACB={{63}^{o}}\]

    C)  \[\angle BAC\]                    

    D)  \[{{72}^{o}}\]

    Correct Answer: B

    Solution :

    Let the angles be 3x, 4x, 5x and 6x. We have \[BD=CD\] [sum of angles of a quadrilateral is equal to \[\Rightarrow \]] \[\frac{AO}{OD}=\frac{2}{1}\] \[AO:OD=2:1\] Difference between greatest and smallest angles \[\angle A,\angle B,\angle C\]


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