Two similar polygons are shown. The side opposite to the base side of bigger polygon is labeled x. The adjacent side on the left of base is labeled 6. The adjacent angles on left and right vertices opposite to the base angles are labeled y minus 73 degrees and 116 respectively. Angle opposite to 116 degrees is marked right angle. The side opposite to the base side of smaller polygon is labeled 5. The adjacent side on the right of base is labeled 4. The adjacent angles on the left and right of base are labeled 61 degrees and right angle respectively. Angle opposite to right angle is labeled 116 degrees. and how to sovle for x and y

corresponding angles are congruent for similar polygons.

If the polygon has n sides, the angles sum to 180(n-2)
If that doesn't get you to a solution, then how about you
(a) Label the vertices of each polygon ABCD... PQRS...
(b) label the sides opposite the vertices a,b,c,d... and p,q,r,s...
Then just tell the values of the various angles and sides that are labeled,