Answer:
x + y = 39°
Step-by-step explanation:
4x + 80° = 180° ( opposite angles in a cyclic quadrilateral are supplementary)
4x = 180° - 80° = 100°
Divide both sides by 4
x = 25°
5y + 110° = 180° ( opposite angles in a cyclic quadrilateral are supplementary)
5y = 180° - 110° = 70°
Divide both sides by 5
y = 14°
Hence,
x + y = 25° + 14° = 39°
x + y = 39°