Final answer:
In similar trapezoids, corresponding angles are equal. Angle R in trapezoid KRBQ corresponds to angle N in trapezoid PNCV because they hold the same relative positions in their respective trapezoids. Hence, the answer is B. Angle N.
Step-by-step explanation:
The question is asking to identify the angle in trapezoid KRBQ that corresponds to angle R when we know that trapezoid KRBQ is similar to trapezoid PNCV.
In similar trapezoids, corresponding angles are equal.
Therefore, the angle that corresponds to angle R in trapezoid KRBQ will have the same relative position as angle R has in its own trapezoid.
Since angle R is one of the non-parallel side angles in trapezoid KRBQ, we need to find the angle in trapezoid PNCV that is also on the non-parallel side.
Angle N and angle C are the non-parallel side angles in trapezoid PNCV. If the trapezoids are labeled in the same order, the angle that corresponds to angle R would be angle N, as they both follow the first non-parallel side angle in the respective trapezoids.
Therefore, the correct answer is: B. Angle N.