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Question

In the figure given below, prove that pm.


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Solution

In ΔBCD,

CBD+BCD+BDC=180

[Since the sum of the angles of a triangle is 180]

CBD+45+35=180

CBD+80=180

CBD=18080=100 ....(i)

EBD+CBD=180 (Linear pair of angles)

EBD+100=180 ......(From i)

EBD=80

EBD=FAB (corresponding angles)

These angles form an equal pair of corresponding angles for lines p and m with n as transversal. Therefore it can be concluded that p is parallel to m.

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