A) \[{{60}^{o}}\]
B) \[{{55}^{o}}\]
C) \[{{70}^{o}}\]
D) \[{{90}^{o}}\]
Correct Answer: B
Solution :
Since,\[CE||BA\]and C is transversal. \[\therefore \]\[\angle ACE=\angle BAC={{60}^{o}}\] (alternate interior angles) \[\angle ACD=\angle ACE+\angle ECD={{60}^{o}}+{{65}^{o}}={{125}^{o}}\] Now, \[\angle ACB={{180}^{o}}-\angle ACD={{180}^{o}}-{{125}^{o}}={{55}^{o}}\]
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