1. **State the problem:** We have two vertical arrows intersecting a horizontal line, forming angles. The angle labeled "a" is 96° and the angle labeled "b" is (6x - 30)°. We need to solve for $x$. 2. **Understand the relationship:** Since the arrows are vertical and intersect the same horizontal line, angles "a" and "b" are supplementary angles (they add up to 180°) because they form a straight line. 3. **Write the equation:** $$96 + (6x - 30) = 180$$ 4. **Simplify the equation:** $$96 + 6x - 30 = 180$$ $$6x + 66 = 180$$ 5. **Isolate $x$:** $$6x = 180 - 66$$ $$6x = 114$$ 6. **Solve for $x$:** $$x = \frac{114}{6} = 19$$ 7. **Conclusion:** The value of $x$ is 19.