Question

HELP ME !!!!!! instruction given the quadrilateral ABCD inscribed in the circle, find x and y​

Answer 1

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

So using theorem we find that

∠A+∠C = 180

x + 108 = 180

x = 180 - 108

x = 72

∠B+∠D = 180

88 + y = 180

y = 180 - 88

y = 92

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