A) pentagon
B) hexagon
C) decagon
D) octagon
Correct Answer: B
Solution :
Let exterior angle be x. Interior angle \[=\text{ }x\text{ }+\text{ }60{}^\circ \] We know that exterior angle + interior angle \[=\text{ }180{}^\circ \] \[x+x+{{60}^{\text{o}}}={{180}^{\text{o}}}\] 2x=120° x = 60° \[\therefore \] Ext. angle = 60° No. of sides of polygon \[=\frac{\text{360}}{\text{Ext}\text{.}\,\text{angle}}\] \[=\frac{360}{60}=6\] A 6-sided polygon is called a hexagon.You need to login to perform this action.
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