A spherical ball of mass m=5Kg rests between two planes make angle 45 and 30 respectively with the horrizontal. the system is in equilibrium. Find the normal forces exerted on the ball by each of the planes.The planes are smooth

Consider thew diagram made above
R1 -Normal force exerted by plane having inclination 30
R2- Normal force exerted by plane having inclination 45

Since ball is in equillibrium make the vertical and horizontal forces equal.
R2 cos45 = R1 cos60
R2 sin45 + R1sin60 = mg

2 equations and 2 variables. You can now solve for R1 and R2 to get the desired answer.

All the best.