A) \[75{}^\circ \]
B) \[105{}^\circ \]
C) \[115{}^\circ \]
D) \[85{}^\circ \]
Correct Answer: B
Solution :
\[\angle EAB=5x-25\](Opposite angles) \[\angle EAB=\angle ABD\](Alternate interior angle) \[\angle ABD=2x+35\](Opposite angles) \[2x+35=5x-25\] \[\Rightarrow \]\[x=20{}^\circ \] \[\angle ABC=180{}^\circ -(2x+35){}^\circ =145{}^\circ -2x\] \[\angle ABC=145{}^\circ -2\,(20{}^\circ )=105{}^\circ \]
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