Identify ALL the pairs of vertical angles in the figure

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.

Can someone answer this question for me

What adds to be the bottom number but also multiplies to be the top number with 8 on the bottom and 15 on top