Adjacent Angles and Linear Pair An adjacent angle is a pair of angles that share a common vertex. For example, consider angles A and B in the image below...
An adjacent angle is a pair of angles that share a common vertex. For example, consider angles A and B in the image below. They are adjacent because they share the same vertex V.
Adjacent angles are always congruent, meaning they have the same measure. For example, if angle A is 50°, then angle B must also be 50°.
An linear pair is a set of two adjacent angles. For instance, consider angles A and B in the image. Since they are adjacent, they are in a linear pair.
The linear pair theorem states that the sum of the angles in a linear pair is 180°. This means that if you have two angles in a linear pair, you can add their measures together to get 180°.
Examples:
Angle A and angle C are adjacent because they share vertex V.
Angle A and angle D are adjacent because they are adjacent.
Angles A and B form a linear pair because they are adjacent.
Angle A and angle E form a linear pair because they are adjacent