A) Quadrilateral
B) Hexagon
C) Pentagon
D) Triangle
Correct Answer: D
Solution :
We know that in a polygon, ext. angle + int. angle = \[180{}^\circ \] \[ext.\text{ }angle\text{ }+\text{ }60{}^\circ \text{ }=\text{ }180{}^\circ \] \[Ext.\text{ }angle\text{ }=\text{ }180{}^\circ -60{}^\circ \text{ }=120{}^\circ \] No. of sides of polygon \[=\frac{{{360}^{o}}}{\text{Ext}\text{.}\,\text{angle}}\] \[=\frac{{{360}^{\text{o}}}}{{{120}^{\text{o}}}}=3\] A three sided polygon is called triangle.
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