Use vertical angles to find the value of x. Use pencil and paper. Is it possible to find the value of x without using vertical angles? Explain your reasoning.

The value of x is 204 degree.
The point where they meet is called a vertex. When two lines intersect, the opposite (X) angles are equal.
As line UM and FQ is intersecting at point x.
Using Vertical opposite angle,
x/6= 40
x=40*6
x=240
Hence, the vertically opposite angle is 240.
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