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Question Number 138774 by Bekzod Jumayev last updated on 18/Apr/21

Commented by Bekzod Jumayev last updated on 18/Apr/21

$x = ? ?$ $P l e a s e h e l p$
	Answered by nimnim last updated on 18/Apr/21

	$I f A G / / B F, t h e n$ $∠ B F A = ∠ G A F = 2 θ (a l t . i n t . ∠^{'} s, a s A G ∥ B F)$ $i n r t . △ C E F, ∠ E C F + ∠ E F C = 90 °$ $\Rightarrow 4 θ + 2 θ = 90 \Rightarrow θ = 15 °$ $i n r t . △ E C D, C D i s p r o d u c e d t o H$ $∴ ∠ E D H = 90 + 2 θ$ $\Rightarrow ∠ A D H = 90 + 2 θ$ $i n △ A D H, A H i s p r o d u c e d t o f o r m e x t . ∠ x$ $∴ x = ∠ A D H + ∠ D A H$ $\Rightarrow x = 90 + 2 θ + θ = 90 + 3 (15) = 135 °$
	Commented by mr W last updated on 18/Apr/21

	$i t i s n o t s a i d t h a t A G / / B F . s o t h e r e$ $i s n o r e a s o n f o r θ = 15 ° .$
	Commented by nimnim last updated on 18/Apr/21

	$Y o u a r e r i g h t S i r . T h a n k y o u .$
	Commented by Ar Brandon last updated on 18/Apr/21

	$Courage, man! keep up .$ 😉
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