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
In the given figure, two straight lines PQ and RS intersect each other at O. If | |||
| Right Option : D | |||
| View Explanation | |||
If the given angles form a linear pair of angles,find the value of x. | |||
| Right Option : B | |||
| View Explanation | |||
In the given figure, AOC is a line. Find the value of | |||
| Right Option : C | |||
| View Explanation | |||
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