Answer:
x = 116° , y = 20°
Step-by-step explanation:
Since, measure of angle subtended on the center of the circle is twice the measure of angle subtended on the circumference of the circle.
[tex] \therefore \: x = 2 \times 58 \degree \\ \huge \red{ \boxed{ \therefore \: x =116 \degree}} \\ \\[/tex]
Now, by angle sum property of a quadrilateral.
[tex] y + (360 - 116) \degree + 38 \degree + 58 \degree = 360 \degree \\ y + 244 \degree + 96 \degree = 360 \degree \\ y + 340 \degree= 360 \degree \\ y = 360 \degree - 340 \degree \\ \huge \purple{ \boxed{ y = 20 \degree}}[/tex]
