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It is a pair of adjacent angles in which the non common arms form a Straight Lines.
A linear pair of angles is formed when two lines intersect. 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. |
Illustration: Find the values of the angles x, y and z in each of the following: Solution: [Angles on a straight line] 110 + x = 180 : x = 180 - 110 = 70 [Linear pair] y = 180 - 80 = 100 (i) Also Y + Z = 180 [Linear pair] 100 + Z = 180 : Z = 180 - 100 = 80
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Illustration: Find the value of x if it forms a linear pair with angle whose measure is 118 degrees.
Solution: As x and angle 118 degrees forms a pair of linear angle. Hence we must have