Summary: A gelatin dessert has wedge-shaped fruit slices with angle \(\alpha\) dispersed in it randomly. A knife makes a planar slice through the dessert. Each dihedral angle of a fruit wedge cut by a knife shows up as an angle A in the slicing plane. We obtain simple formulas for the first two moments of A: E A\(=\alpha\) and \[ E A^ 2=4(1-\alpha /\tan \alpha)+2\pi (\alpha /2-\tan \alpha /2), \] derived by the method of functional equations. These results are useful in biologic and geologic stereology, where measurements are made on two-dimensional sections of a sample, and information about the angles in three dimensions is desired.