Linear Pair
Two angles that form a straight line.
A linear pair is a pair of adjacent angles formed when two lines intersect. These angles are called a linear pair because they lie on a straight line and add up to 180 degrees. In other words, the sum of the measures of a linear pair is equal to 180 degrees.
For example, if two lines intersect and form four angles, two of these angles can form a linear pair. If one angle measures 60 degrees, the other angle adjacent to it must measure 120 degrees for the pair to be a linear pair.
It’s important to note that not all adjacent angles are linear pairs. For example, if the two adjacent angles are both acute angles (less than 90 degrees), they cannot form a linear pair because their sum would be less than 180 degrees. Similarly, two obtuse angles (greater than 90 degrees) cannot form a linear pair because their sum would be greater than 180 degrees.
Knowing about linear pairs can be useful in solving problems related to angles and geometry, such as determining the angles of a triangle or quadrilateral.
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