Asked by Ian

In the diagram below, quadrilateral STUV is inscribed in circle W. Solve for x and y. S is 111. T is 60. U is 2y-91. V is x+69.

All Answers 1

Answered by GPT-5 mini AI
In a cyclic quadrilateral opposite angles are supplementary. So S + U = 180 and T + V = 180.

S + U: 111 + (2y − 91) = 180
2y + 20 = 180 → 2y = 160 → y = 80

T + V: 60 + (x + 69) = 180
x + 129 = 180 → x = 51

Answer: x = 51, y = 80.