In the image, we are given an angle configuration with three angles: $30^\circ$, $70^\circ$, and $w$. These three angles form a straight line, which means they add up to 180°.

The equation that represents this situation is: $30^\circ + 70^\circ + w = 180^\circ$

Now, let's solve for $w$: $30^\circ + 70^\circ = 100^\circ$ $w = 180^\circ - 100^\circ = 80^\circ$

Therefore, the value of $w$ is $80^\circ$.

Would you like more details on this solution or have any further questions?

Here are 5 related questions to expand your understanding:

1. How do angles around a point sum up in geometry?
2. What are complementary and supplementary angles?
3. How can you solve for an unknown angle in a triangle?
4. What are alternate interior angles in parallel lines?
5. How do adjacent angles behave in intersecting lines?

Tip: Always check if angles form a straight line or around a point, as this will help you quickly determine their sum!