https://file.aiquickdraw.com/mathbot/file/1725933362324hh3ka26v.jpg

The image presents two intersecting lines, forming opposite angles. The given angles are \( 110^\circ \) and \( (8s - 2)^\circ \). These two angles are *vertical angles*, meaning they are equal.

Thus, we can set up the equation:
\[
8s - 2 = 110
\]

Now, let's solve for \( s \):

1. Add 2 to both sides:
\[
8s = 110 + 2
\]
\[
8s = 112
\]

2. Divide by 8:
\[
s = \frac{112}{8} = 14
\]

Thus, the value of \( s \) is \( 14 \).

Do you want more details, or have any questions?

Here are five questions to further your understanding:

1. What are vertical angles, and why are they always equal?
2. How would the problem change if the given angles were adjacent instead of vertical?
3. Can you explain why adding 2 was the first step in solving the equation?
4. What other properties of angles are helpful in solving geometry problems like this?
5. How can we verify that the solution for \( s \) is correct?

**Tip:** In problems involving intersecting lines, always check if you can use properties of vertical or supplementary angles to set up equations.

Solve for the value of s. The given angles are 110° and (8s - 2)°. These are vertical angles formed by two intersecting lines.

Learn how to solve for the variable s when given two vertical angles: 110° and (8s - 2)°. Step-by-step explanation using basic geometry and algebra concepts. Suitable for students in Grades 7-9.

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