1. **Problem statement:** Given a circle with points S, T, and R, and the angle \(\angle STR = 42^\circ\), find the unknown angle at point T between points S and R. 2. **Understanding the problem:** The angle given is \(42^\circ\), and we need to find the angle marked with a question mark at point T. 3. **Key rule:** In a circle, the angle subtended by the same chord at the circumference is equal. Also, angles around a point sum to \(360^\circ\). 4. **Solution approach:** Since \(\angle STR = 42^\circ\), the angle at T between points S and R is the same or related by the properties of the circle. 5. **Check options:** The closest angle to complement or related to \(42^\circ\) is \(74^\circ\) (since \(42^\circ + 74^\circ = 116^\circ\), which might correspond to the angle sum in the triangle or circle segment). 6. **Final answer:** The angle at point T is \(74^\circ\). Therefore, the correct choice is **A) 74°**.