1. **State the problem:** We are given an equation relating angles formed by intersecting lines: $$2m + 60 = 130$$. We need to solve for the unknown angle measure $m$. 2. **Recall the rule:** Vertical angles are equal, and adjacent angles on a straight line sum to 180°. The equation $2m + 60 = 130$ comes from the relationship between these angles. 3. **Solve the equation:** $$2m + 60 = 130$$ Subtract 60 from both sides: $$2m + \cancel{60} - \cancel{60} = 130 - 60$$ $$2m = 70$$ Divide both sides by 2: $$\frac{2m}{\cancel{2}} = \frac{70}{\cancel{2}}$$ $$m = 35$$ 4. **Interpretation:** The measure of angle $m$ is 35 degrees. **Final answer:** $$m = 35$$ degrees.