Question

A)
A quadrilateral is inscribed in a circle. Two consecutive angles measure 88° and 108°. The angleopposite the 108° angle is labeled
. Find the value of
x
.
(1 point) x°
x = °
A)
A quadrilateral is inscribed in a circle. Two consecutive angles measure 88° and 108°. The angleopposite the 88° angle is labeled
. Find the value of
y
.
(1 point) y°
y =

Answer 1

In a cyclic quadrilateral opposite angles are supplementary (sum to 180°).

- x = 180° − 108° = 72°
- y = 180° − 88° = 92°