A) \[{{80}^{o}}\]
B) \[{{120}^{o}}\]
C) \[{{60}^{o}}\]
D) \[{{140}^{o}}\]
Correct Answer: A
Solution :
Let the three equal angles of the quadrilateral be \[{{x}^{o}}\] each. The sum of all angles is \[{{360}^{o}}\]. Given that fourth angle is \[{{120}^{o}}\]. \[\therefore \] \[{{x}^{o}}+{{x}^{o}}+{{x}^{o}}+{{120}^{o}}={{360}^{o}}\] \[\Rightarrow \] \[3{{x}^{o}}={{360}^{o}}-{{120}^{o}}={{240}^{o}}\] \[\Rightarrow \] \[x={{80}^{o}}\]
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