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Hello dear !
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Given : BA║ED, BC║EF
To prove : ∠ABC = ∠DEF
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Proof :
Extend DE that meet BC on P
Extend EF that meet AB on Q
So, BPEQ is formed a ║gm ∵ BP║EQ,EP║BQ
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In ║gm BPEQ
∠ABC = ∠ PEQ _________(1)
also ∠PEQ = ∠DEF [VOA's]____(2)
By (1) And (2) we get
∠ABC = ∠DEF
hence proved :)
_________________________________________________________
___________________________________________________________
Given : BA║ED, BC║EF
To prove : ∠ABC = ∠DEF
___________________________________________________________
Proof :
Extend DE that meet BC on P
Extend EF that meet AB on Q
So, BPEQ is formed a ║gm ∵ BP║EQ,EP║BQ
___________________________________________________________
In ║gm BPEQ
∠ABC = ∠ PEQ _________(1)
also ∠PEQ = ∠DEF [VOA's]____(2)
By (1) And (2) we get
∠ABC = ∠DEF
hence proved :)
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