1. **State the problem:** We have a triangle with angles 38°, 32°, and an angle expressed as 5v. We need to find the value of $v$. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always 180°. This means: $$38 + 32 + 5v = 180$$ 3. **Set up the equation:** $$38 + 32 + 5v = 180$$ 4. **Simplify the known angles:** $$70 + 5v = 180$$ 5. **Isolate $5v$:** $$5v = 180 - 70$$ $$5v = 110$$ 6. **Solve for $v$:** $$v = \frac{110}{5} = 22$$ **Final answer:** $$v = 22^\circ$$