Respuesta :

Answer:

50°

Step-by-step explanation:

In an inscribed quadrilateral, the opposite angles are supplementary (angle sum = 180).

2x + 80 = 180

2x = 100

x = 50

The value of x of  O is circumscribed about quadrilateral ABCD is 50degrees

Circle geometry

According to the circle geometry given, the sum of the opposite sides of the quadrilateral is 180 degrees.

Setting up the required equation;

2x + 80 = 180
2x = 180 - 80
2x = 100

Divide btoh sides by 2

2x/2 = 100/2

x =50

Hence the value of x of  O is circumscribed about quadrilateral ABCD is 50degrees

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