this post was submitted on 08 Oct 2024
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135 is correct. Bottom intersection is 80/100, 180-35-100 = 45 for the top of the second triangle. 180 - 45 = 135
You're making the assumption that the straight line consisting of the bottom edge of both triangles is made of supplementary angles. This is not defined due to the nature of the image not being to scale.
Unless there are lines that are not straight in the image (which would make the calculation of x literally impossible), the third angle of the triangle in the left has to be 80°, making the angle to its right to be 100°, making the angle above it to be 45°, making the angle above it to be 135°. This is basic trigonometry.
Following your logic, there is no evidence that these are triangles and it is never stated, therefore none of these lines might be straight and the discussion is irrelevant.
There is also no evidence that these are lines at all and not just unconnected points that are offset on a subpixel scale. Or indeed there is no evidence that they are using base 10 numbers or aren't asking a completely different question in an invented language that just happens to look like English but has totally different semantics.
The people claiming it is unsolvable because one 110/80 degree pair of angles looks like a 90/90 one are ridiculous.