Answer: 126
Explanation:
The inside angles of any triangle always add to 180 degrees.
x+80+46 = 180
x+126 = 180
x = 180-126
x = 54
Then we'll use the fact angles x and y are supplementary.
x+y = 180
54 + y = 180
y = 180-54
y = 126
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Shortcut: Use the remote interior angle theorem to add the known interior angles 80 and 46 to get 80+46 = 126 as the exterior angle that is not adjacent to those interior angles.