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

Mathematics

2 answers:

Oxana [17]4 years ago

8 0

Answer:

61°

Step-by-step explanation:

earnstyle [38]4 years ago

5 0

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.

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S_A_V [24]

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