Answer :

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°