In Fig. 6.12, BA || ED and BC || EF. Show that ∠ABC = ∠DEF.
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Answer
DE intersect BC at P
EF||BC & DP is transversal
∠ DEF = ∠ DPC . . . . . . . . ( i )
Now, AB||DP & BC is transversal
∠ DPC = ∠ ABC . . . . . . . ( ii )
From ( i ) & ( ii ),
we get :
∠ ABC = ∠ DEF
Hence , proved
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