It also doesn't say that the line on the bottom is straight, so we have no idea if that middle vertex adds up to 180 degrees. I would say it is unsolvable.
This is what I was thinking. The image is not to scale, so it is risky to say that the angles at the bottom center add up to 180, despite looking that way. If a presented angle does not represent the real angle, then presented straight lines might not represent real lines.
Can you clarify what you mean? this doesn't make sense to me. There isn't an "outer" triangle. There's one triangle (the left one) that has the angles 40, 60, 80. Both triangles are misleadingly drawn as they appear to be aligned at the bottom but they're not (left triangle's non-displayed angle is 80, not 90 degrees). So that means we can't figure out the angles of the right triangle since we only have information of 1 angle (the other can't be figured out since we can't assume its actually aligned at the bottom since the graph is now obviously not to scale).
I mean to me it looks like there are two connected triangles with an implied 3rd where x is the degree measure of its apex. IFF that is true, them you can assume 180 degree totals for each triangle individually and one for the "outer triangle".
I totally get it if you take the perspective that none of it is to scale, but it seems unreasonable to me that a straight line is not a straight line connecting the two triangles shown. Either it's unsolvable from that premise, or you can assume 3 triangles that compose one larger triangle and solve directly. And it seems weird to share something that is patently unsolvable.
I used to have teacher who deliberately made disproportionate diagrams. His reasoning was that people trust too much what their eyes see and not enough what the numbers tell them. He would've loved that diagram.
It literally explains it in the comic? People who communicate badly and then act smug when they're misunderstood are annoying. The other user is saying that the same applies to the OPs post; because the angles don't match the graphic, they're communicating badly
It's a geometry puzzle. Of course they aren't going to get out a protractor to carefully get the 80° drawn to scale. The point of these puzzles isn't that we actually want to know what the angle is. The point is to navigate a maze of logic. (A very short maze in this particular case.)
You messed up. Left triangle"s angle is 100°, so right's would be 80°. So 80+35=115°, top angle would be 180-115= 65°, so x would be 180-65= 115, x=115°.