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Can Three Angles Form a Linear Pair?
Can Three Angles Form a Linear Pair?
Robert Thorne••5 min read
A linear pair can be defined as two adjacent angles
adjacent angles
When two angles are adjacent, then their sum is the angle formed by two non-common arms and one common arm. If a ray stands on a straight line, then the sum of adjacent angles formed is 180°. If the sum of two adjacent angles is 180° then they are called a linear pair of angles.
that add up to 180° or two angles which when combined together form a line or a straight angle. Three angles can be supplementary, but not necessarily adjacent. For instance, angles in any triangle add up to 180° but they don't form a linear pair.
How many angles can be in a linear pair?
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
What angles do not form a linear pair?
All adjacent angles do not form a linear pair. From the above figure we can observe; OX and OY are two opposite rays and ∠XOZ and ∠YOZ are the adjacent angles. Therefore, ∠XOZ and ∠YOZ form a linear pair.
