1. **State the problem:** We are given a triangle with angles measuring 34°, 48°, and $x$ degrees. We need to find the value of $x$. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always 180°. This can be written as: $$34^\circ + 48^\circ + x^\circ = 180^\circ$$ 3. **Set up the equation:** $$34 + 48 + x = 180$$ 4. **Add the known angles:** $$82 + x = 180$$ 5. **Isolate $x$ by subtracting 82 from both sides:** $$\cancel{82} + x = 180 - \cancel{82}$$ $$x = 98$$ 6. **Conclusion:** The value of $x$ is 98 degrees. **Final answer:** $x = 98^\circ$