Find angle Y
Angle Y is 102 degrees.
Because the triangle is isosceles, the two labelled angles are the same. Thus:
5x + 6 = 8x - 15 so 3x = 21 hence x = 7
These two angles are therefore 41°
We must have 41 + 41 + Y = 180, so Y = 180 - 82 = 98°