A) \[{{45}^{o}}\]
B) \[{{125}^{o}}\]
C) \[{{90}^{o}}\]
D) \[{{80}^{o}}\]
Correct Answer: B
Solution :
\[DF||CH||BG\] \[\Rightarrow \] \[a+b=x\] and \[a={{45}^{o}}\] (Corresponding angles) \[b={{180}^{o}}-{{100}^{o}}={{80}^{o}}\] (Angles on the same side of transversal.) \[\Rightarrow \] \[x=a+b={{45}^{o}}+{{80}^{o}}={{125}^{o}}\]
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