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  • In Fig.6.6, which of the two lines are parallel and why?

In Fig.6.6, which of the two lines are parallel and why?

 

Answers (1)

Answer: l and m are parallel

Solution.

Consider l and m, now n is the transversal
132^{\circ} + 48^{\circ} = 180^{\circ}      (sum of co-interior angles = 180^{\circ})
Hence the lines are parallel
Consider p and q, now r is the transversal
106^{\circ} + 73^{\circ} = 179^{\circ}\neq 180^{\circ} (sum of co-interior angles \neq 180^{\circ})
Hence the lines are not parallel
Therefore, l and m are parallel

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