(Supplementary) Linear Pair
A linear pair is a pair of adjacent angles formed when two lines intersect
A linear pair is a pair of adjacent angles formed when two lines intersect. The sum of the measures of the two angles in a linear pair is always 180 degrees. In other words, the angles are supplementary, meaning they add up to form a straight angle.
To better visualize this, imagine two lines intersecting each other. The opposite rays formed by the two intersecting lines create four angles. A linear pair consists of the two angles that are adjacent to each other and lie on the same side of the intersection point. These two angles always add up to 180 degrees, forming a straight line.
For example, if two lines intersect and form a linear pair, and one angle measures 80 degrees, then the other angle measures 180 degrees minus 80 degrees, which equals 100 degrees. So, the angles in the linear pair would measure 80 degrees and 100 degrees.
In summary, a linear pair is a pair of adjacent angles that are on the same side of two intersecting lines. The sum of their measures is always 180 degrees, making them supplementary angles.
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