Question

Me ajudem por favor!
Detetmine o valor de X

Answer 1

$\boxed{\begin{array}{l}\sf \alpha=180^\circ-(15^\circ+135^\circ)\\\sf \alpha=180^\circ-150^\circ=30^\circ\\\sf\dfrac{x}{sen(135^\circ)}=\dfrac{\sqrt{2}}{sen(30^\circ)}\\\\\sf x\cdot sen(30^\circ)=\sqrt{2}\cdot sen(135^\circ)\\\sf x\cdot\dfrac{1}{\diagup\!\!\!\!2}=\sqrt{2}\cdot\dfrac{\sqrt{2}}{\diagup\!\!\!\!2}\\\\\sf x=\sqrt{2^2}\\\sf x=2\end{array}}$