A) \[50{}^\circ \]
B) \[60{}^\circ \]
C) \[70{}^\circ \]
D) \[80{}^\circ \]
Correct Answer: B
Solution :
\[\angle 1+\angle 2=180{}^\circ \] [linear pair] \[\angle 1+2\angle 1=3\angle 1=180{}^\circ \] \[\angle 1=\frac{180{}^\circ }{3}=60{}^\circ \] \[\angle 1=\angle 3\] (Opposite angles) \[\angle 3=\angle 5\] (Alternate interior angles) \[\angle 5=\angle 7\] (Opposite angles) \[\angle 1=\angle 7=60{}^\circ \]
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