Answer
$\alpha\approx48^{\circ}$
$\beta\approx42^{\circ}$
Work Step by Step
$\sin\beta=\frac{2x}{3x}=\frac{2}{3}$
$\beta=\sin^{-1}\frac{2}{3}$
$\beta\approx42^{\circ}$
Sum of interior angles of a triangle $= 180^{\circ}$
$90^{\circ} + \alpha + \beta = 180^{\circ}$
$90^{\circ} + \alpha + 42^{\circ} \approx 180^{\circ}$
$\alpha\approx48^{\circ}$
