1. **State the problem:** We are given an angle $\angle JML$ with measure 85°. 2. The angle is split into two parts: $(6x + 2)^\circ$ and $(4x + 3)^\circ$. 3. Since these two parts form the whole angle $\angle JML$, their measures add up to 85°. 4. Write the equation: $$ (6x + 2) + (4x + 3) = 85 $$ 5. Combine like terms: $$ 6x + 4x + 2 + 3 = 85 $$ $$ 10x + 5 = 85 $$ 6. Subtract 5 from both sides: $$ 10x + \cancel{5} - \cancel{5} = 85 - 5 $$ $$ 10x = 80 $$ 7. Divide both sides by 10: $$ \frac{10x}{\cancel{10}} = \frac{80}{\cancel{10}} $$ $$ x = 8 $$ **Final answer:** $x = 8$