Question

in the diagram below, ⊙o is circumscribed about quadrilateral wxyz. what is the value of a? a. 105° b. 95° c. 125° d. 75°

Explanation:

Step1: Recall cyclic quadrilateral property

Opposite angles sum to $180^\circ$.

Step2: Set up equation for angle $a$

$a + 75^\circ = 180^\circ$

Step3: Solve for $a$

$a = 180^\circ - 75^\circ$

Answer:

A. $105^\circ$