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 \[=\text{ }180{}^\circ -\frac{{{360}^{{}^\circ }}}{5}=108{}^\circ \] \[\therefore \] Interior angle of required polygon \[=\frac{5}{6}\times 108{}^\circ =90{}^\circ \] = 180° - 90° = 90° \[\therefore \] Each interior angle of the required polygon \[\therefore \] Number of sides \[=\frac{{{360}^{{}^\circ }}}{Exterior\text{ }angle}=\frac{{{360}^{{}^\circ }}}{{{90}^{{}^\circ }}}=4\]
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