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