1. **State the problem:** We have a triangle with angles 30°, 90°, and an angle labeled as $3w$. We need to find the value of $w$. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always 180°. This means: $$30° + 90° + 3w = 180°$$ 3. **Set up the equation:** $$30 + 90 + 3w = 180$$ 4. **Simplify the known angles:** $$120 + 3w = 180$$ 5. **Isolate $3w$:** $$3w = 180 - 120$$ $$3w = 60$$ 6. **Solve for $w$:** $$w = \frac{60}{3} = 20$$ **Final answer:** $$w = 20°$$