Find the value of 'x',
A) \[{{60}^{o}}\]
B) \[{{70}^{o}}\]
C) \[{{80}^{o}}\]
D) \[{{85}^{o}}\]
Correct Answer: B
Solution :
In the given figure. \[\angle ABF+\angle FBC={{180}^{o}}\]. \[{{70}^{o}}+\angle FBC={{180}^{o}}\] \[\Rightarrow \] \[\angle FBC={{180}^{o}}-{{70}^{o}}={{110}^{o}}\] Now, \[\angle DEC+\angle CEF={{180}^{o}}\] \[\angle CEF={{180}^{o}}-{{60}^{o}}={{120}^{o}}\] Now, \[\angle FBC+\angle BCE+\angle CEF+\angle BFE={{360}^{o}}\] \[{{290}^{o}}+x={{360}^{o}}\Rightarrow x={{70}^{o}}\]
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