Prove that angle WTU is twice as large as angle WOX.
Any help would be greatly appreciated.
Without further constraints - no.
Consider - as you move point X around the circumference (that's a circle right? Because your computer has drawn an ellipse.) the angle WOX can change without altering WTU. In fact, as drawn, you can clearly see that WOX is greater than WTU.
I guess TV and TY are both tangents. That would make OW perpendicular to TY.
Is UWO supposed to be the same as WOX?
In which case, WOX is the same as WOU isn't it?
And it still does not look like the WOU should have a fixed ratio with WTU.
For instance if WU is close to being a diameter, the WTU is very small while WOU is close to pi (radiens).
Alternatively, if WU is very small, then WOU is acute and WTU is obtuse. I am completely stumped by it.
Sooo... still need more info.
Same discussion still applies.The question actually asks for a proof that angle WOX is twice as large as angle WTU
Same discussion still applies.
Unless there is some rule for positioning point X in relation to U and W, it is possible to find a configuration of U W and X where any ratio of angles is true. Still not enough information.
As it stands, the proposition you are expected to prove is false.