Question

how to find the value of x and y on vertices of square​

Answer 1

The given diagram is an example of

circumscribed circle and inscribed polygon.So, if a quadrilateral can be inscribed in a circle, then its opposite angles are supplementary .

Therefore, ∠x+60⁰ = 180⁰

∠x = 180 − 60 = 120⁰

Similarly, ∠y + 30⁰ = 180⁰

∠y = 180 – 30 = 150⁰

Hence x = 120 ⁰ and y = 150⁰