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Examples of corresponding angles:
1. In a pair of parallel lines cut by a transversal, the angles in matching corners are corresponding angles.
2. When two parallel lines are intersected by a transversal, corresponding angles are equal.
3. Example: If two lines parallel to the x-axis are cut by a line, the angles at corresponding positions are corresponding angles.

Answer :

Answer:

The opening and shutting of a lunchbox, solving a Rubik's cube, and never-ending parallel railway tracks are a few everyday examples of corresponding angles.

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Final answer:

Corresponding angles examples include angles formed when two parallel lines are intersected by a transversal, and in similar triangles, where they are equal. These concepts are fundamental in understanding geometric properties and proving parallel lines.

Explanation:

Corresponding angles are pairs of angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, corresponding angles are equal.

Parallel Lines Cut by a Transversal: When two parallel lines are intersected by a third line (transversal), the angles in matching corners (for example, angles in the top left corner formed by the intersection of each parallel line with the transversal) are corresponding and thus equal.

Triangles: In similar triangles, corresponding angles are equal due to the fact that the triangles have the same shape (though they may be different sizes).

Alternate Interior and Vertical Angles: While not the same as corresponding angles, it's noteworthy that alternate interior angles and vertical angles are also formed by intersecting lines, with their own properties of equality in the case of parallel lines or intersecting lines, respectively.