We can see that the sum of the two given angles does not equal to 180 o Hence, let us check the sum of the two given angles. Therefore, for the given two angles to be supplementary, their sum has to be equal to 180 o. We have learnt that the sum of two supplementary angles is always 180 o. Hence, the other angle if one of the supplement angles is 85 o will be 95 o Solved ExamplesĬheck whether the angles 125° and 53° are a pair of supplementary angles. We have the equation defining the relation between two supplement angles, p and q as We are also given the value of ∠ Q as 85 o. Suppose we are given the fact that there are two angles, namely ∠ P and ∠ Q which are said to supplement each other. Therefore, if we know one of the angles, using the above equation we can find out the value of the other angle. The formula that is to define the relation be the pair of supplementary angles p and q is given by: So, if we are given one of the angles of the pair of supplementary angles can we find out the other angle? We now know that two angles are said to be supplementary if their sum is 180 o. The sum of the pair of complementary angles is equal to 180 o The sum of the pair of supplementary angles is equal to 180 o The major differences between the Supplementary angles and the Complementary angles can be summarised as: Supplementary Angles Complementary angles can be a pair of adjacent as well as non-adjacent angles.The pair of complementary angles are called as each other’s complement.Other properties of complementary angles are similar to that of supplementary angles such as: For instance, if we have a pair of angles, say 60 o and 30 o, we can say that these two angles are complementary as 60 o + 30 o = 90 o. Complementary AnglesĬomplementary angles are the pair of angles that have the sum of 90 o. But are Supplementary angles and Complementary angles the same or do they differ from each other? Let us find out. Similar to supplementary angles, a common term used in geometry are complementary angles.
Therefore, we can say that there may be a pair of supplementary angles that are not adjacent to each other. However, it may also be noted that these two angles are not adjacent angles. Therefore, the angles ∠ ABC and ∠ PQR are supplementary angles. if we find ∠ ABC + ∠ PQR, we will see that
In the above figure, we can see that ∠ ABC = 60 o while ∠ PQR = 120 o The angle formed by a straight line is always equal to 180 oįor example, let us consider the below figure Let us recall what do we mean by a straight line and what does it form?Ī straight line is an infinite length line that does not have any curves on it.
This means that the angles, 130 o and 50 o, since their sum are 180 o, therefore the angle 130 o is the supplement of 50 o and vice versa.īefore moving ahead with the concept of supplementary angles, it is important to recall two other important concepts in geometry, namely, straight line and adjacent angles. when two angles are supplementary angles, they are said to be supplements of each other. When the sum of two angles is 180 o, i.e. Together, the supplementary angles form a straight line. For example, two angles, 130 o and 50 o are supplementary because their sum, 130 o + 50 o = 180 o. Two angles are said to be supplementary if their sum is 180 o. Therefore, the combination of these two words means “something when supplied to complete a thing”. So, how do we define supplementary angles? Let us find out. Here, the word “Supplere” means “supply”, while the meaning of the word “Plere” is “fill”. The word “supplementary” has been derived from two Latin words “Supplere” and “Plere”. Where did this term supplementary come from? The Origin of the word Supplementary Let us understand what supplementary angles are all about.īefore we look into the concept of supplementary angles, let us first understand the meaning of the term supplementary. One of the important terms in geometry is supplementary angles. Depending upon the placement of the angles, there may be adjacent angles, opposite angles, corresponding angles, alternate angles and so on. Similarly, a pair of angles can be complementary angles or supplementary angles depending upon their sum. For example, an angle may be a right angle, an acute angle or an obtuse angle, depending upon the angle it makes with a straight line. In geometry, different names are given to different angels and their combinations depending upon the type of angles they make. Adjacent Angles and Supplementary Angles.
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