Would like to show off now by pointing out that particular state is in fact the easternmost state because part of its territory crosses the International Date Line :-) Cool quiz.
Close - Alaska is entirely west of the International Date Line, which doesn't conform to the 180th parallel. However, HelveticaBold, you had the right idea, it's just that there's a slight distinction between the Date Line and the 180th parallel. You can see how the Date Line bends here: https://www.google.com/maps/@58.7741266,-172.1389635,3z But I included this question specifically to trip people up thinking it was Maine, so good job!
It's a copout gotcha answer. Nobody from anywhere in the rest of the U.S. would travel east to get to the Western Aleutians. Conversely, it makes it harder to find statistics on the legitimate westernmost point in the Aleutians, i.e., the point actually west of the 180th Meridian that someone would travel to if they continuously travelled westward.
P. S. As mentioned, all of Alaska is east of the International Date Line.
P.P.S. The logical easternmost point is coincidentally called West Quoddy Head.
It's pretty often presented in "geography fun fact" type things that Alaska is the furthest north, west, and east among the states. I'm sure that's where I got it from when I made this quiz years ago. I agree now that it's more of a stretch.
P. S. As mentioned, all of Alaska is east of the International Date Line.
P.P.S. The logical easternmost point is coincidentally called West Quoddy Head.