this post was submitted on 08 Oct 2024
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Because the angles aren't represented accurately. It could be that the two angles that look like they're 90° add up to 180°, but they could also not
That's technically possible, but that's also an irrational take. The rational take is to assume the problem is solvable given the available information, which means assuming that the lines are straight.
Yes, two angles appear to be 90⁰, but they're obviously not with the given information. Math conventions nearly always label right angles, so not having the right angle there implies that the angle should not be assumed to be 90⁰. Math conventions in trigonometry also generally assume straight lines unless there's a visual indicator that they're not, and those tend to be exaggerated so it's obvious.
So the rational answer here is that the bottom line is straight and therefore the problem is solvable. Saying otherwise is irrational, because that's so far away from math conventions.