Question

in the diagram below, ⊙p is circumscribed about quadrilateral abcd. what is the value of x? a. 88° b. 82° c. 90° d. 98°

Explanation:

Step1: Recall cyclic quadrilateral property

Opposite angles sum to $180^\circ$.

Step2: Set up equation for $\angle A$ and $x$

$98^\circ + x = 180^\circ$

Step3: Solve for $x$

$x = 180^\circ - 98^\circ$

Answer:

B. $82^\circ$