Question

Find the value of x

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Answer 1

all angles in a quadrilateral add to 360
x is supplementary to that other angle, call it y
the angles inside are 40, 80, 110 and y
40+80+110+y=360
230+y=360
minus 230 both sides
y=130
that is supplementary to x (adds to 180)
x+y=180
x+130=180
minus 130 both sides
x=50

x=50 degrees

Answer 2

Here, we know that sum of all the angles inside the figure will be 360.
So, 40 + 110 + 80 + (180-x) = 360 [ ∠(180-x) is linear paired with x ]
230 + 180 - x = 360
410 - x = 360
x = 410 - 360
x = 50

In short, Your Final answer would be 50 degrees

Hope this helps!