A) \[{{70}^{o}},{{35}^{o}}\]
B) \[{{110}^{o}},{{145}^{o}}\]
C) \[{{110}^{o}},{{35}^{o}}\]
D) \[{{140}^{o}},{{20}^{o}}\]
Correct Answer: B
Solution :
Since, \[FG||DE\]and AG is transversal. \[\therefore \] \[\angle FGA+\angle DAG={{180}^{o}}\] (Co-interior angles) \[\Rightarrow \] \[{{70}^{o}}+\angle x={{180}^{o}}\Rightarrow \angle x={{110}^{o}}\] Also, \[CBH||DAE\]and BA is transversal. \[\angle y+{{35}^{o}}={{180}^{o}}\](Co-interior angles) \[\Rightarrow \] \[\angle y={{180}^{o}}-{{35}^{o}}\Rightarrow \angle y={{145}^{o}}\]
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