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In the given image, angles \( A \) and \( C \) are marked as congruent. Here's why:

The setup shows two parallel lines intersected by a transversal line. Angle \( A \) and angle \( C \) are corresponding angles formed by the parallel lines (top and bottom lines) and the transversal (diagonal line). By the Corresponding Angles Postulate, when two parallel lines are cut by a transversal, each pair of corresponding angles is congruent. Therefore, angle \( A \) and angle \( C \) are congruent.

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Here are some related questions to explore further:

1. What are alternate interior angles, and how are they related in a parallel line setup?
2. How can we prove that corresponding angles are congruent?
3. What happens to the angles if the lines are not parallel?
4. How can we find the

Explore why angles A and C are congruent when two parallel lines are cut by a transversal. Using the Corresponding Angles Postulate, understand how angle relationships work in this geometry problem, ideal for students in Grades 7-9.

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