1. **Problem:** Determine if the given sets of three angle measures can be the angles of a triangle. 2. **Rule:** The sum of the interior angles of a triangle must be exactly $180^\circ$. 3. **Check each set:** (a) $47^\circ + 84^\circ + 49^\circ = 180^\circ$ (b) $30^\circ + 70^\circ + 80^\circ = 180^\circ$ (c) $85^\circ + 15^\circ + 35^\circ = 135^\circ \neq 180^\circ$ (d) $35^\circ + 124^\circ + 21^\circ = 180^\circ$ 4. **Conclusion:** - (a) Yes, they can be angles of a triangle. - (b) Yes, they can be angles of a triangle. - (c) No, they cannot be angles of a triangle because the sum is not 180. - (d) Yes, they can be angles of a triangle.