A) \[{{65}^{o}}\]
B) \[{{135}^{o}}\]
C) \[{{140}^{o}}\]
D) \[{{225}^{o}}\]
Correct Answer: B
Solution :
Each of the three acute angles is \[{{75}^{o}}\]. Let the fourth angle be \[{{x}^{o}}\]. Then \[3\times {{75}^{o}}+{{x}^{o}}={{360}^{o}}\] (Sum of angles of a quadrilateral.) \[\Rightarrow \] \[{{225}^{o}}+{{x}^{o}}={{360}^{o}}\] \[\Rightarrow \] \[{{x}^{o}}={{360}^{o}}-{{225}^{o}}\] \[\Rightarrow \] \[{{x}^{o}}={{135}^{o}}\]
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