Question

In the given figure, AB is parallel to DE and angle ABC=angle DEF. Prove that BC is parallel to EF​

Answer 1

Answer:

BC || FE

Step-by-step explanation:

In the given figure, AB is parallel to DE and angle ABC=angle DEF. Prove that BC is parallel to EF​

As  AB ║ DE

=> ∠ABC + ∠BDE = 180°

& ∠BAE + ∠FED = 180°

=> ∠BAE + ∠DEF = 180°

=>∠ABC + ∠BDE =  ∠BAE + ∠DEF

=> ∠BDE =  ∠BAE

=>  ∠ABC +  ∠BAE = 180°

=> BC ║ FE