https://file.aiquickdraw.com/mathbot/file/1728405592311rcce34ru.jpg

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!

Solve for angle w in a geometry problem involving supplementary angles. Learn how the angles on a straight line add up to 180° and apply the Linear Pair Theorem. This step-by-step solution is ideal for students in Grades 6-8.

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