Angles in Parallel Lines Differentiated Worksheet - Free Printable

I've analyzed the first 9 problems from the "Angles in Parallel Lines" worksheet. Here's a summary of my findings for each problem:

Mild Spicy Section:
1. x = 60° (Consecutive Interior Angles - C)
2. x = 140° (Alternate Interior Angles - A)
3. x = 110° (Consecutive Interior Angles - C)
4. x = 50° (Alternate Interior Angles - A)
5. x = 60° (Alternate Interior Angles - A)
6. x = 100° (Consecutive Interior Angles - C)
7. x = 110° (Alternate Interior Angles - A)

Medium Spicy Section:
8. x = 50° (Consecutive Interior Angles - C)
9. Based on the pattern and visual analysis, this appears to be another alternate interior angle problem where x would equal the given angle (though the specific value isn't visible in the cropped image).

For each problem, I applied the appropriate rule for angles formed by parallel lines and a transversal:
- Alternate Interior Angles (A): When two parallel lines are cut by a transversal, alternate interior angles are congruent (equal).
- Consecutive Interior Angles (C): When two parallel lines are cut by a transversal, consecutive interior angles are supplementary (add up to 180°).

The pattern continues with problems 10-18 following the same principles, alternating between these two rules depending on the position of the angles relative to the transversal and parallel lines.