Thursday 12 July 2012

adjacent angles

We say that the angle is formed when we have two rays going in the different directions and they have a same starting point called the vertex. The measure between the two rays is done in the terms of degrees. So we say that the angles are measured in degrees.
 Let us now look at the adjacent angles. The pair of angles formed such that :
a)    The two angles have a common vertex.
b)    The two angles have one  common arm and two uncommon arms.
c)    The common arm exist in between the uncommon arms.
If all the  above three conditions are satisfied , then we say that the pair of angles is called the adjacent angles.
In case the pair of adjacent angles are supplementary, then we conclude that the two uncommon arms of the adjacent angles form a straight line. Thus if the sum of the two adjacent angles  is supplementary, then we say that the two uncommon arms is in fact the straight line.
The reverse of the above statement is also true, which says that if the two adjacent angles are formed on the straight line, then the pair of angles are supplementary.
 We also call these pair of angles as the linear pair of angles.
So by the term linear pair, we simply mean the pair of the adjacent angles which are formed on the straight line and so the sum of this adjacent pair of angles is automatically 180 degrees.
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