State the Definition of a Linear Pair of Angles.
Answer – A linear pair is a pair of adjacent angles formed when two lines intersect.
Explanation:
The two angles of a linear pair are always supplementary, i.e., their sum always equals 180°. These angles share a common vertex (the point of intersection) and one common arm (the shared section of the lines).
In the above figure, ∠ACB and ∠ACD are linear pairs. This is because lines AC and BD intersect at point C. The sum of both angles is 180 degrees (∠ACB = 60° and ∠ACD = 120°). Irrespective of the tilt of the intersecting line, the sum of the linear pair of angles is always 180° (i.e., 130° and 70°, or 100° and 80°, and so on).
