The Brewster angle is the angle can be found through this equation θ=arctan(n2/n1). This came from Snell's Law: n1sinθ=n2sin(90-θ) =n2cosθ n2/n1=tanθ --- θ=arctan(n2/n1)=arctan(1.434)=55.11 degrees
Next, the angle of refraction can be found by using Snell's Law n1sinθ=n2sinθ' sin(55.11)=1.434sinθ' sinθ'=sin(55.11)/1.434=0.572 --- θ'=arcsin(0.572)=34.89 degrees