Question

Please help!! Determine the value of x and y

Answer 1

• x = 115; y = 70

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ABCD is a cyclic quadrilateral, hence its opposite angles are supplementary.

∠A and ∠C are supplementary:

• y + 30 + 80 = 180
• y + 110 = 180
• y = 70

∠B and ∠D are supplementary:

• x - 10 + 75 = 180
• x + 65 = 180
• x = 115