A) \[{{90}^{o}}\]
B) \[{{60}^{o}}\]
C) \[{{56}^{o}}\]
D) \[{{62}^{o}}\]
Correct Answer: D
Solution :
As diagonals of rhombus bisect the angles. \[\therefore \]\[\angle BAC=\angle CAD\] Also, In rhombus ABCD. \[\angle A+\angle B={{180}^{o}}\](Sum of adjacent angles) \[\Rightarrow \]\[\angle A+{{56}^{o}}={{180}^{o}}\Rightarrow \angle A={{124}^{o}}\] \[\therefore \]\[\angle BAC=\angle CAD=\frac{\angle A}{2}={{62}^{o}}\] Now \[\angle ACD=\angle BAC\](Alternate angles) \[\Rightarrow \]\[\angle ACD={{62}^{o}}\]
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