Question

In the diagram below, circle O is circumscribed about quadrilateral DEFG. What is the value of x?

Answer 1

Answer:

61°

Step-by-step explanation:

Answer 2

Answer:

A. $61^{o}$  

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.

$x+119^{o}=180^{o}$

$x=180^{o}-119^{o}$

$x=61^{o}$

Therefore, the value of x is 61 degrees and option A is the correct choice.