1. **State the problem:** We need to find the value of $x$ given the pentagon's interior angles: $125^\circ$, $(x + 7)^\circ$, $107^\circ$, $(x - 15)^\circ$, and $131^\circ$. 2. **Sum of interior angles formula:** For a pentagon ($n=5$), the sum is: $$\text{Sum} = (5 - 2) \times 180^\circ = 540^\circ$$ 3. **Set up the equation:** $$125 + (x + 7) + 107 + (x - 15) + 131 = 540$$ 4. **Simplify constants and combine like terms:** $$125 + 7 + 107 - 15 + 131 + x + x = 540$$ $$355 + 2x = 540$$ 5. **Isolate $x$:** $$2x = 540 - 355$$ $$2x = 185$$ 6. **Solve for $x$ with cancellation:** $$x = \frac{\cancel{185}}{\cancel{2}}$$ $$x = 92.5$$ **Final answer:** $$x = 92.5^\circ$$ Your answer of 141 degrees is incorrect because substituting $x=141$ would make the sum exceed 540 degrees.