In the diagram below, O is circumscribed about quadrilateral ABCD. What is the value of x?
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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
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
Learn more on circle geometry here:https://brainly.com/question/26594685