LINEAR PAIR OF ANGLES – MINDSPARK

LINEAR PAIR OF ANGLES

A straight line forms an angle of 180 degrees. After the two lines intersect each other the sum of adjacent angles formed is 180 degrees. These types of angles are also known as supplementary angles. They have a common vertex and a common arm that represents the two angles. The uncommon arms form a line. The word linear means straight so linear angles are those that are formed into a straight line. 

The supplementary angles are constructed on a line segment but not all adjacent angles are linear. 

Let us consider a line AB and another ray intersecting the line AB. The ray OP intersects the line AB and the sum of the angles formed by the angles is 180°.

Here, the ∠AOP = 135° and ∠POB = 45°. The sum of the two angles ( 135° + 45° ) is 180°. 

PROPERTIES

1. The sum of two angles which are a linear pair is always 180 degree.
2. All the linear pair of angles are adjacent angles but all adjacent angles are not linear pair of angles.
3. They share a common arm and a vertex between them.
4. They always form one straight line.

Linear pairs of angles are nothing but two parts of a straight angle. Straight angle is formed when the angle between the two lines is 180 degrees. It is another way to represent a straight line.