[Berly]

I'm having some trouble with a homework problem for my physical chemistry course. The problem reads;

Methane (MP 91 K) and tetrafluoromethane (MP 89 K) do not form solid solutions with each other, and as liquids they are only partially miscible. The upper critical temperature of the liquid mixture is 94 K at xCF4=.43 and the eutectic temperature is 84K at xCF4=.88. At 86 K the phase in equilibrium with the tetrafluoromethane-rich solution changes from solid methane to a methane-rich liquid. At that temperature, the two liquid solutions that are in mutual equilibrium have the compositions xCF4=.1 and XCF4=.8. Sketch the phase diagram.

I am having trouble figuring out what the diagram will look like. I know the eutectic is where the liquids freeze congruently, and the upper critical temperature is the point above which the liquids are completely miscable. But what to do with the bit at 86K?