135
It pisses me off to no end that what is CLEARLY shown as a 90degree angle is not in fact 90deg, I hate it when they do that.
Also I will sadly admit this can teach people lessons about verifying the information themselves.
GrumbleGrumbleGrumble…
Geometry diagrams in math problems should never be assumed to be to scale
Yes obviously. But it still irritates me as someone who does geometry for a living.
I get you, but it doesn’t clearly indicate the angle in the middle at the base as much as it suggestively waggles its eyebrows towards 90⁰, it could just as easily be 89.9999999999999⁰, although upon zooming in, you can see the line does shift one pixel over on its way up. You simply can’t trust any of the angles as 90⁰ unless it’s got the ∟ symbol (that’s the official unicode) or you’ve measured them yourself, and with that one pixel off-set, it’s decidedly not 90⁰. That’s why you have to do the math.
The internal angles of a triangle always add up to 180⁰, therefore the one pixel offset is irrelevant because the unlabelled angle is, despite what the image suggests,
6080⁰.Assuming you’re talking about the triangle on the left, it’s 80⁰:
180 - 60 - 40 = 80. The other two unlabeled angles are 100⁰ and 45⁰ respectively. None of the unlabelled angles are 60⁰.The shape on the left might be a quadrilateral instead of a triangle, with a vertex at the same place as the top vertex of the shape on the right.
Yes I meant 80 lol, thanks
It’s enough to say it’s “CLEARLY” not 90⁰.
That’s just what I said but more into the weeds on the detail.
👍
Another way to look at it is that it is simply a representation of an object. We don’t need to visualize the angles, as the values to the other asks are given. We just need the geometry of the object represented so we can calculate the value of the unlabeled angle. Given that the geometry of the objects is represented as triangles, we can infer that all sides are straight lines, regardless of the type of space the object occupies.
Actually, it might be a 90 degree angle, but the shape on the left might be a quadrilateral instead of a triangle.
Assuming these are straight lines.
Even if they are straight lines, if that’s a 2d projection of something on a non-flat 3d surface, it can also change the way the angles fit together.
If these aren’t straight lines, drag has no idea what the answer is and thinks it might be impossible to tell.
The answer is 125 degrees but the triangle on the left has 190 degrees in it
Nah, the angle isn’t specified as a right angle. We can’t assume it’s 90° just because it’s drawn that way, because it isn’t drawn to scale.
Left triangle has 180° total. 60+40=100, which means that middle line is actually 80°, not 90. And since the opposite side is the inverse, we know it is 100° on the other side.
100+35=135. We know the right triangle also has 180° total, so to find the top corner we do 180-135=45. So that top corner of the right triangle is 45°, meaning x must be 135° on the opposite side.
I mean, it’s visibly an acute angle wether it’s labelled as such or not.
This is the geometry version of those stupid poorly written math equations. Engagement bait.
The real answer is always “it’s unsolveable due to poor/missing notation”.
But it’s not unsolvable, just a misleading drawing…
It’s not unsolvable at all. The answer is x=135°. The triangles simply aren’t drawn to scale; The line between them isn’t a 90° angle, (even though it is drawn that way) because it is not specifically marked as 90° with a square angle mark.
Either this is drawn wrong or they broke geometry
The triangles aren’t drawn to scale. The middle line isn’t a 90° angle, because it isn’t specifically marked with a square angle in the corner. Triangles always add up to 180°, so the angle in the left triangle is actually 80°, not 90°.
I like that all the comments are people discussing the diagram.
Same.
Right one does not depend on the left one. 3rd dimension for the win!
There’s perils in being in 3d
And thinking so much differently.
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That was a good one
The angle formerly known as twitter
Am I stupid or is one triangle unnecessary?
It is necessary. In the left triangle, the angle that is shown to be right is actually 80°, since other angles are 60 and 40, totaling 100.
That just means the drawing us wrong, because that is a right angle there
It’s not wrong. It’s just not right.
that’s on purpose. it checks whether you actually verify information out just make assumptions. you’re not supposed to eyeball things.
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I got 55
I think 125
135, that’s not a 90 degree angle in the problem. Just visually.
Oh that’s just a cheap trick. You are right, it’s 80 degrees despite looking like 90 degrees.
You are right that is 80° so the value of x will be 135°
Nah, the imagery tricks you. 180 degrees to a line. 180 degrees inside a triangle.
So you can gather the inside unlabeled angle on the triangle on the left is only 80 degrees: (180-[60+40])
So you then know it’s 100 on the right side of that +35 leaves you with 45 degrees left for the top of the right one.
180-45=. 135 degrees
Also if you add up all visible angles you get 135, so I’m sold on that alone. No no no, I won’t hear any rebuttals.
Heheheh the 2 triangles are having segs
For the love of dog, you can’t solve this problem without making assumptions that fundamentally change the answer. People are too quick to spot the first error and then make assumptions that are conveniently consistent with the correction.
The only assumption needed to solve the problem is that the bottom line is indeed straight. Generally it will never be assumed in these types of learning practices that a straight line is a lie, because at that point you can never do a single problem ever. However an undefined angle can be cheesed.
Though it still bugs me on a fundamental level they will cheese the angle to bait a person into a wrong answer, it can teach a valuable lesson about verifying information.
We can solve this issue of a straight line being guaranteed by doing this. This actually is probably a really good practice considering the exacting nature of certain disabilities such as ADHD and Autism. However if you live in the US you need to just accept things like this because we will NEVER fund public education properly let alone consider accessibility beyond things mandated by the ADA
Someone used “x” to mean the variable x on a podcast the other day and it made me wonder if Gen Z is happy to call eX-Twitter “X” and if they calls Tweets “posts”.
Annoying change for eX-Twitter
What a deviously misleading diagram.
The triangle on the left isn’t actually a right angle triangle, as the other angles add to 100°, meaning the final one is actually 80°, not 90°.
Therefore the triangle on the right also isn’t a right angle triangle. That corner is 100°.
100+35=135°. 180-135=45°. So that’s 45° for the top angle.
X = the straight line of the joined triangles (180°) - the top angle of the right triangle (45°). 180-45=135°
X is 135°, not the 125° it initially appears to be.
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.
Eh, I think @sag pretty well nailed it.
Looks like an outer triangle with inner triangles so x = 180 - (180 - (40 + 60 + 35)) = 40 + 60 + 35 = 135
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.
The person who made it needs this:
I… don’t understand it ?
https://www.explainxkcd.com/wiki/index.php/169:_Words_that_End_in_GRY
I don’t know if that helps or not.
With proper punctuations: There are three words in “the English language”. The other half of it is supposed to be a misdirection.
But yeah, the original joke was really bad in the first place. I don’t blame the second guy for his reaction.
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
Yes but what is communicated badly ? What did the riddle man mean by the three words in english language that end in “gry” ?
The “Riddle Man” wants the answer to be ‘language’ because the question he claims to have asked is what’s the third word in “the English Language.”
If we credulously try to answer the implied question, it’s better to just link this page, but you should read the whole thing.
https://www.merriam-webster.com/help/faq-third-common-gry-word
As the explain xkcd notes, it’s badly told by cueball so it’s impossible to answer. https://www.explainxkcd.com/wiki/index.php/169:_Words_that_End_in_GRY
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.)
Yes, and in this case, the puzzle was poorly presented and likely unsolvable.
Leave it to the Grand Nagus to spot a clever ruse.
12th rule of acquisition : let assumptions work in your favor
I looked at that “90°” angle and went “that doesn’t look right…”
I thought is was wierd that my math didn’t make sense, thanks!
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