To determine which angle is part of both a linear pair and a vertical pair, we need to understand the definitions of these concepts.
A linear pair consists of two adjacent angles that sum up to 180 degrees. This means that if two angles are next to each other on a straight line, they form a linear pair. On the other hand, vertical angles are the angles that are opposite each other when two lines intersect. Vertical angles are always equal to each other.
In the diagram, look for an angle that is adjacent to another angle which together sum to 180 degrees, indicating that they are part of a linear pair. Simultaneously, this angle should also be opposite another angle created by the intersection of two lines, making it part of a vertical pair as well.
For example, if angle A and angle B are next to each other on a line and angle C is opposite angle A, then angle A is part of a linear pair (with angle B) and part of a vertical pair (with angle C).
Identify such angles in the provided diagram, and you will find the angles that meet both criteria.