1. **State the problem:** We have a right triangle with one angle measuring $57^\circ$ and another angle measuring $x^\circ$. 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 $180^\circ$. 3. **Set up the equation:** Since one angle is a right angle ($90^\circ$), the sum of the other two angles must be $180^\circ - 90^\circ = 90^\circ$. 4. **Write the equation for the unknown angle:** $$x + 57 = 90$$ 5. **Solve for $x$:** $$x = 90 - 57$$ $$x = 33$$ 6. **Conclusion:** The value of $x$ is $33^\circ$.