1. **Problem:** Find the measure of each numbered angle in the triangle TWR with a right angle at W and angles 60° and 30°. 2. **Formula and rules:** The sum of the interior angles of any triangle is always $$180^\circ$$. 3. **Step 1:** Identify the given angles: one angle is $$90^\circ$$ (right angle at W), another is $$60^\circ$$, and the last is $$30^\circ$$. 4. **Step 2:** Since the triangle has angles $$90^\circ$$, $$60^\circ$$, and $$30^\circ$$, the numbered angles correspond to these values. 5. **Step 3:** Angle 1 is $$60^\circ$$ and angle 2 is $$30^\circ$$ as labeled inside the triangle. 6. **Step 4:** Verify the sum: $$90^\circ + 60^\circ + 30^\circ = 180^\circ$$, which confirms the triangle's angle measures are correct. **Final answer:** Angle 1 = $$60^\circ$$, Angle 2 = $$30^\circ$$.