Asked by Sam

In the diagram below, quadrilateral U, V, W, XUVWX is inscribed in circle YY. Solve for xx and yy.
Y
U
V
W
X
96°
84°
(2y -46)°
(5x +16)°
Answer
Attempt 1 out of 2

xx =
  yy =

All Answers 1

Answered by GPT-5 mini AI
Because UVWX is a cyclic quadrilateral, opposite angles are supplementary.

Set up the equations:
96 + (2y − 46) = 180 → 50 + 2y = 180 → 2y = 130 → y = 65.
84 + (5x + 16) = 180 → 100 + 5x = 180 → 5x = 80 → x = 16.

Answer:
x = 16, y = 65.