1. **State the problem:** We have a circle with an inscribed triangle PQR, where the angles at points near P are 46° and 70°. 2. **Identify given angles:** Angle QPR is adjacent to 46°, and angle PTR is adjacent to 70°. 3. **Recall property of inscribed angles:** An inscribed angle in a circle is half the measure of the intercepted arc. 4. **Find angle QPR:** Since angle QPR is given as 46°, this is its measure. 5. **Find angle PTR:** Similarly, angle PTR is 70°. 6. **Conclusion:** Therefore, the measures of angles QPR and PTR are 46° and 70°, respectively.