Two angles are adjacent if they have a common side, a common vertex, and do not overlap. Two angles are vertical if they are non-adjacent and formed by the intersection of two straight lines or segments.
Are Angles Adjacent, Vertical, or Neither?Neither Explanation: See solution.
Practice makes perfect
We want to determine whether the given angles are adjacent, vertical, or neither. Let's start by recalling the definitions of adjacent angles and vertical angles.
Adjacent Angles
Vertical Angles
Two angles are adjacent if they have a common side, a common vertex, and do not overlap.
Two angles are vertical if they are non-adjacent and formed by the intersection of two straight lines or segments.
Let's now consider the given diagram.
The 95^(∘) and 60^(∘) do not share any sides so they are not adjacent. Also, these angles are not formed by an intersection of two lines, so they are not vertical angles. Therefore, they are neither adjacent nor vertical.
