Question

11. In the given figure, AB || DE and BC || EF.
Prove that angle ABC = angle DEF.
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Answer 1

Answer:

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