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it can be proved easily go through the following steps
Step-by-step explanation:
extend line EF such that it meets ray AB on point P (it has to be constructed)
such that angle EPB is equal to angle DEF
also Ray PF should be parallel to ray BC
hence angle EPB + angle PBC= 180 degree
( corresponding angles property of parallel lines)
as angle EPB = angle FED (by construction)
hence substituting angle EPB = angle DEF
therefore angle DEF= angle ABC ( A-P-B)
hope this helpsss
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