Final answer:
Corresponding angles are the angles that are found in the same relative position at each intersection of a transversal with two parallel lines, such as NP and QS, and these angles are always equal.
Step-by-step explanation:
When two lines, such as NP and QS, are parallel, there are several pairs of corresponding angles. Corresponding angles are those that are in the same relative position at each intersection where a third line crosses the two parallel lines. If we have a transversal that crosses these parallel lines, the angles that are in matching corners (for example, the top left angle from line NP and the top left angle from line QS when the transversal intersects from above) are considered corresponding angles.
In practice, you can identify corresponding angles by looking at the shape and position of the angle relative to the parallel lines and the transversal. For a visual representation, imagine a line crossing over NP and QS; the angles that 'correspond' to each other are the ones that look alike and are in the same position in relation to the transversal and the parallel lines.
Corresponding angles are always equal when the lines are parallel, and this is a fundamental concept in geometry that helps to solve various problems involving angles and transversals.