In geometry, a linear pair is a pair of adjacent angles that have a common vertex and share a common side, but do not overlap. Linear pairs are also known as supplementary angles, because the measures of the two angles add up to 180 degrees.
The properties of linear pairs are:
1. The measures of a linear pair of angles add up to 180 degrees.
2. The non-common sides of a linear pair of angles form a straight line.
3. If two angles form a linear pair, then they are supplementary.
4. If two angles form a linear pair, then they are adjacent angles.
5. If two angles form a linear pair, then they are supplementary and adjacent.
6. If two angles form a linear pair, then the measures of the angles are supplementary and the non-common sides form a straight line.
7. If two angles form a linear pair, then they are complementary if and only if they are right angles.
8. If two angles form a linear pair, then the measures of the angles are complementary if and only if they are right angles.