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Question Number 210014 by Ismoiljon_008 last updated on 28/Jul/24

Commented by Ismoiljon_008 last updated on 28/Jul/24

$H e l p P l e a s e$
Commented by a.lgnaoui last updated on 28/Jul/24

$∡ FBA = ∡ FBC ? AB / / CD ?$
Commented by Ismoiljon_008 last updated on 28/Jul/24

$Y e s, A B C D i s p a r a l l e l o g r a m a n d$ $B F i s b i s s e c t o r .$
	Answered by A5T last updated on 28/Jul/24

	Commented by A5T last updated on 28/Jul/24

	$T h r o u g h F, c o n s t r u c t a l i n e p a r a l l e l t o A B .$ $\Rightarrow \frac{A G}{A D} = \frac{A F}{A E} = \frac{F G}{D E} = \frac{1}{2} \Rightarrow A G = G D = \frac{x}{2}; F G = 2.5$ $\Rightarrow \frac{x}{2} + 2.5 = 10 \Rightarrow x = 15$
	Commented by Ismoiljon_008 last updated on 29/Jul/24

	$t h a n k y o u v e r y m u c h$
	Answered by mr W last updated on 28/Jul/24

	Commented by mr W last updated on 28/Jul/24

	$C G = A D = x$ $E G = A E \Rightarrow F G = 3 \times A F$ $\frac{10}{A F} = \frac{2 x}{F G} \Rightarrow 10 = \frac{2 x}{3} \Rightarrow x = 15$
	Commented by Ismoiljon_008 last updated on 29/Jul/24

	$t h a n k y o u v e r y m u c h$
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