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Direction a marble would travel on a plane

I am trying to calculate the direction a marble would travle if placed on a tilted plane. I need a formula to calcualte this with variables b, c and d. d is defined as an angle measured from a base line created by starting at point 0,0,0 to the perpendicular intersection of planes x and y.

I will always know what b and c equals, we are solve for d.

Here are some additional details

starting on a level plane (x) i have another plane (y) intersecting at b degrees.

From plane y i have another plane (z) rotated at 90 degrees and tilted c degrees.

I need a formula to calculate the direction the marble would roll if placed on plane z. the answer needs to be an angle (of direction of travel) on plane x.

Please see the attached image for claification. email me for clarification

epiekarc at yahoo dot com

Thanks for all the help,

Eric