Question

O is circumscribed about quadrilateral DEFG. What is the value of x?
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Answer 1

i think it goes like this x+119=180

Answer 2

yes, the opposite angles add up to 180
to solve for x, add -119 to both sides.

btw, you know the inscribed angle = ½ the "arc"
the arc for angle x plus the arc for angle 119 add up to the whole circle = 360
so the sum of the inscribed angles (i.e. x+119) add up to ½ of 360= 180

Answer 3

i see.i have another following question