if A B D E and B D F G such that /F G ...

if `A B D E` and `B D F G` such that `/_F G H=125^0` and `/_B=55^0,` find `x\ a n d\ y`

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We are given that : ` /_FGH = 125@
and /_B = 55@
/_FGH+/_ FGE= 180@ (Linear pair)
125 + y = 180@
y= 180-125" = 55@
BA| | FD and BD || FG
/_B =/_ F = 55@
Now in /_\EFG,
/_F +/_FEG + /_FGE=180@`
(Angles of a triangle)
= `55 +x +55' 180@
=x+110@= 180@
x=180-110@= 70@
Hence x=70,y=55@`

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