Answer: x = 44
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Work Shown:
The three interior angles of any triangle always add to 180
82+54+x = 180
136+x = 180
x = 180-136
x = 44
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Extra info:
If you need the value of y, then,
x+y = 180
y = 180-x
y = 180-44
y = 136
Or you could use the remote interior angle theorem to find y
y = 82+54
y = 136
The value of z is equal to y since these two angles are vertical angles.