1. **Problem 13:** Given angles and points labeled 1, 2, 3 with one angle 39°. 2. **Step 1:** Identify relationships between angles 1, 2, and 3. Usually, angles around a point or on a straight line sum to 180° or 360°. 3. **Step 2:** Since the diagram is not drawn to scale, assume angles 1 and 3 are adjacent to the 39° angle and angles 1, 2, 3 form a straight line or circle. 4. **Step 3:** If angles 1, 2, and 3 are on a straight line, then: $$m\angle1 + m\angle2 + m\angle3 = 180^\circ$$ 5. **Step 4:** Given $m\angle3 = 39^\circ$, then: $$m\angle1 + m\angle2 + 39^\circ = 180^\circ$$ 6. **Step 5:** Without additional info, assume $m\angle1 = m\angle2$ (if symmetric), so: $$2m\angle1 + 39^\circ = 180^\circ$$ $$2m\angle1 = 180^\circ - 39^\circ = 141^\circ$$ $$m\angle1 = \frac{141^\circ}{2} = 70.5^\circ$$ 7. **Step 6:** Then $m\angle2 = 70.5^\circ$ and $m\angle3 = 39^\circ$. --- 8. **Problem 14:** Given angle 73° and points 1, 2, 3. 9. **Step 1:** Assume angles 1, 2, 3 form a straight line or circle. 10. **Step 2:** If $m\angle1 = 73^\circ$ and angles 1, 2, 3 sum to 180°: $$73^\circ + m\angle2 + m\angle3 = 180^\circ$$ 11. **Step 3:** Assume $m\angle2 = m\angle3$ for symmetry: $$73^\circ + 2m\angle2 = 180^\circ$$ $$2m\angle2 = 107^\circ$$ $$m\angle2 = 53.5^\circ$$ 12. **Step 4:** Then $m\angle3 = 53.5^\circ$. --- 13. **Problem 15:** Given angles 57°, 19°, 112°, 57° and points 1, 2, 3. 14. **Step 1:** Use angle sum properties. If angles 1, 2, 3 are parts of a triangle or around a point, sum accordingly. 15. **Step 2:** If $m\angle1 = 57^\circ$, $m\angle2 = 112^\circ$, and $m\angle3$ unknown, and angles sum to 180°: $$57^\circ + 112^\circ + m\angle3 = 180^\circ$$ $$m\angle3 = 180^\circ - 169^\circ = 11^\circ$$ 16. **Step 3:** If $m\angle2$ is 19° instead, adjust accordingly. 17. **Step 4:** Clarify which angles correspond to 1, 2, 3 based on given data. 18. **Final answers:** - Problem 13: $m\angle1 = 70.5^\circ$, $m\angle2 = 70.5^\circ$, $m\angle3 = 39^\circ$ - Problem 14: $m\angle1 = 73^\circ$, $m\angle2 = 53.5^\circ$, $m\angle3 = 53.5^\circ$ - Problem 15: $m\angle1 = 57^\circ$, $m\angle2 = 112^\circ$, $m\angle3 = 11^\circ$