Linear Pair
LINEAR PAIR
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. |  |
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Illustration: Find the values of the angles x, y and z in each of the following: Solution: 110 + x = 180 : x = 180 - 110 = 70
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
Which of the following statement is false. 1. If the sum of two adjacent angles is 180 degrees ,then the non-common arms of the angles form a line. 2. The sum of all angles about a point is 360 degrees. 3.The sum of the angles on the same side of a line at a given point is 90 degrees. 4. If a ray stands on a line ,sum of two adjacent angles so formed is 360 degrees. | |||
| Right Option : B | |||
| View Explanation | |||
Given | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following pairs represents linear pair of angles?
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| Right Option : A | |||
| View Explanation | |||
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