A) 3
B) 4
C) 6
D) 8
E) None of these
Correct Answer: B
Solution :
Explanation Option [b] is correct. \[\therefore \,\,Interior angle of pentagon = 180{}^\circ -\frac{360{}^\circ }{5}~=108{}^\circ \] \[\therefore \,\,Interior angle of\,required\,polygon = \frac{5}{6}\times 180{}^\circ =90{}^\circ \] \[=180{}^\circ -90{}^\circ =90{}^\circ \] \[\therefore \,\,\,Each interior angle of the required polygon\,\] \[\therefore \,Number\,of\,sjdes\,\,=\,\,\frac{360{}^\circ }{Exterior\,angle}\,=\frac{360{}^\circ }{90{}^\circ }=4\]
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