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

105 degrees (choice A)

The quadrilateral is inscribed in the circle, so the opposite angles are supplementary

(angle W) + (angle Y) = 180

a+75 = 180

a+75-75 = 180-75

a = 105

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.