Linear Pair
A pair of adjacent angles whose noncommon sides are opposite rays.
A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles share a common side and their non-common sides form a straight line. The measure of a linear pair is always 180 degrees, because they combine to form a straight angle.
A diagram of a linear pair can be represented as:
A—–B
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C
Where line segment AB intersects line segment BC at point C, and angle ACB and angle ABC are adjacent angles that form a linear pair.
Linear pairs are commonly used in geometry proofs and can be used to help solve problems involving angles. For example, if the measure of angle ACB is 100 degrees, we can determine that the measure of angle ABC is 80 degrees because the two angles form a linear pair and must add up to 180 degrees.
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