In the diagram below, circle O is circumscribed about quadrilateral DEFG. What is the value of x?
A. 61
B. 90
C. 59
D. 119

Answer:
A. [tex]61^{o}[/tex]
Step-by-step explanation:
We are told that circle O is circumscribed about quadrilateral DEFG.
Since we know that the opposite angles of quadrilateral inscribed inside a circle are supplementary.
Let us find value of x by equating the measure of x and its opposite angle with 180.
[tex]x+119^{o}=180^{o}[/tex]
[tex]x=180^{o}-119^{o}[/tex]
[tex]x=61^{o}[/tex]
Therefore, the value of x is 61 degrees and option A is the correct choice.