A) \[{{60}^{o}}\]
B) \[{{40}^{o}}\]
C) \[{{20}^{o}}\]
D) None of these
Correct Answer: B
Solution :
Given, \[AD=DC,\angle ABD=2x\] and \[\angle DBC=x+{{40}^{o}}\] Since, equal chords subtend equal angles at the center. \[\angle ABD=\angle DBC.\] \[\Rightarrow \]\[2x=x+{{40}^{o}}\Rightarrow x={{40}^{o}}\]
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