A) \[{{30}^{{}^\circ }}\]
B) \[{{40}^{{}^\circ }}\]
C) \[{{60}^{{}^\circ }}\]
D) \[{{50}^{{}^\circ }}\]
Correct Answer: A
Solution :
Three angles of quadrilateral \[={{x}^{o}},\,2{{x}^{o}}\] and \[3{{x}^{o}}\] \[\therefore \] Fourth angle \[=x+2x+3x\]\[=6{{x}^{o}}\] \[\therefore \] \[x+2x+3x+6x={{360}^{o}}\] \[\Rightarrow \] \[12x={{360}^{o}}\] \[\Rightarrow \] \[x=\frac{360}{12}={{360}^{o}}\] = Smallest angle
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