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This image shows a pair of parallel lines cut by a transversal, creating angles. We are given one angle as \( (12x - 8)^\circ \) and another as \( 100^\circ \). These angles are corresponding angles, which means they are equal.

To solve for \( x \), we set the two angles equal to each other:

\[
12x - 8 = 100
\]

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

1. Add 8 to both sides:
   \[
   12x = 108
   \]

2. Divide by 12:
   \[
   x = \frac{108}{12} = 9
   \]

So, \( x = 9 \).

Would you like a detailed explanation of corresponding angles, or do you have any questions about this?

Here are 5 related questions for further practice:
1. What are alternate interior angles in a transversal problem?
2. How do you solve for \( x \) if the angles are supplementary?
3. What happens if the angles are alternate exterior angles?
4. How can we calculate the value of \( x \) if we have vertical angles?
5. How do you determine the relationship between interior and exterior angles?

**Tip:** When dealing with parallel lines and a transversal, identifying angle relationships (like corresponding, alternate interior, or vertical angles) helps solve for unknowns easily.

Solve for x in the equation formed by the corresponding angles: (12x - 8)° and 100°.

Learn how to solve for x when given corresponding angles formed by parallel lines and a transversal. This example involves the equation (12x - 8)° = 100°, teaching key concepts like the Corresponding Angles Theorem. Suitable for students in Grades 8-10.

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