A layer of carbon dioxide, with index of refraction 1.00045 , rests on a block of ice, with index of refraction $1.310 .$ A ray of light passes through the carbon dioxide at an angle of $\varphi_{1}$ relative to the boundary between the materials and then passes through the ice at an angle of $\varphi_{2}=72.06^{\circ}$ relative to the boundary. What is the value of $\varphi_{1}$ ?