Mathematically there is no way to connect your two elements with an arc tangent to both. That is when the line (or extended line) is intersecting the large arc.
So you must make a compromise:
- Move the line as Maha Nadarasa suggest.
- Create a connecting spline.
- Accept non tangency between the elements.
- Probably som other options.
I am not a fan of 3D sketching. But I think you can achieve what you want using "project curve".
Can you make the line between the two 10 degree construction lines at a 90 degree angle to the initial line and Tangent to the large circle? If so you could probably fillet it.