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Question Number 202911 by Ari last updated on 05/Jan/24

	Answered by deleteduser1 last updated on 05/Jan/24

	Commented by deleteduser1 last updated on 05/Jan/24

	$W L O G, l e t t h e s i d e o f t h e s q u a r e b e 1$ $\frac{s i n 70}{1} = \frac{s i n (90)}{b} \Rightarrow b = \frac{1}{c o s (20)}$ $\frac{s i n (65)}{1} = \frac{s i n (90)}{a} \Rightarrow a = \frac{1}{c o s (25)}$ $\Rightarrow c o s (25) s i n (x) = s i n (135 - x) c o s (20) \Rightarrow x = 70 °$
	Answered by mr W last updated on 05/Jan/24

	Commented by mr W last updated on 05/Jan/24

	$Δ A B D \equiv Δ A B C$ $x = 90 ° - 20 ° = 70 °$
	Commented by deleteduser1 last updated on 05/Jan/24

	$H o w d i d y o u g e t ∠ A B D = x ° ?$
	Commented by mr W last updated on 05/Jan/24

	$∠ D A B = ∠ C A B = 45 °$ $A D = A C$ $\Rightarrow Δ A B D \equiv Δ A B C$ $\Rightarrow ∠ A B D = ∠ A B C = x$
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