In the adjoining figure, ABCD is a cyclic quadrilateral. If the angles are as given in
the figure, then find the values of x and y.
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where is the figure of the Question
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∠A+∠C=180∘
(Sum of opposite angels of cyclic quadrilateral = 180∘ )
2x+14+4x+4=180∘
6x+18=180∘
6x=162
x=27
∠B+∠D=180∘
(Sum of opposite angles of cyclic quadrilateral =180° )
5y+5+50=180
5y=180−55
5y=125
y=25
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