Answer: x = 112
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Work Shown:
Let's make each of those unlabeled angles be angle y.
We have two copies of y, since the arcs are the same (meaning they are congruent angles) and 44 as well.
The three interior angles of any triangle add to 180
44+y+y = 180
2y+44 = 180
2y = 180-44 ... subtracting 44 from both sides
2y = 136
y = 136/2 ... divide both sides by 2
y = 68
Once we know y, we can find x
x+y = 180 ... since the adjacent angles form a straight line
x+68 = 180
x = 180-68 ... subtract 68 from both sides
x = 112