Question

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 1

61°

Explanation:

Answer 2

A.
`61^(o)`

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.