1. **Stating the problem:** We have a circle with a tangent line at point F and a radius FG. The angle between the tangent line at F and the chord FG is given as 67°. We need to find the unknown angle at point G, labeled as "1.?". 2. **Relevant theorem:** The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment of the circle. 3. **Explanation:** This means the angle between the tangent at F and chord FG (which is 67°) equals the angle subtended by chord FG at the circumference on the opposite side of the chord, which is the angle at G. 4. **Conclusion:** Therefore, the unknown angle at G is also 67°. **Final answer:** $$\boxed{67^\circ}$$