You should be able to solve this

Nothing, actually. Quite a nice solution, how did you find it?

a brainlet that realized he's a brainlet gets rewarded with a piece of working brain

if you have the possibility of measuring angles, wouldn't you directly measure X instead of doing that?

it works for other angles too

yeah, show me the passages

I think that's Indeterminate, becouse any number assigned to x satisfies the conditions of the triangle (180°//360° rules).
It si obvious it works with 30°, because it works with every single x value

sorry for my english guys

No, it just means that the equations you get by the condition that the sum of the angles in a triangle be 180° aren't enough to deduce the value of x. But there are other relations (you obviously can't make x equal 90° while preserving the drawing as it is, just look at it)

Oh shit I wasn't reading, you were right of course... My bad.
So, we can just redo it all with the law of sines and the law of cosines...
EF^2 = OF^2 + OE^2 - 2*OF*OE*cos(70)
OF = EF*sin(x)/sin(70)
OF^2 *(sin(x)/sin(70))^2 = OF^2 + OE^2 - 2*OF*OE*cos(70)
Expressing OE/OF as before with 3 sine laws, we get OE/OF = sin(60)/(2*sin(40)*sin(20))
Plugging back, we get sin(x) = 1/2 and x=30°

down with euclid
death to triangles