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NTSE Sample Paper NTSE SAT Practice Test-6

  • question_answer
    If the angles of a pentagon are in the ratio 1 : 3 : 6 : 7 : 10, then the smallest angle is

    A) \[{{32}^{o}}\]            

    B)        \[{{30}^{o}}\]

    C) \[{{27}^{o}}\]            

    D)        \[{{20}^{o}}\]

    Correct Answer: D

    Solution :

    [d] Sum of external angles of a polygon = 360° We have, \[k+3k+6k+7k+10k=\left( 2\times 5-4 \right)\times 90{}^\circ \] \[\Rightarrow \,k=20{}^\circ \] \[\therefore \] Smallest angle = 20°


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