What is the relationship between a linear pair and supplementary angles

All linear pairs are always supplementary

Step-by-step explanation:

Any two angles whose sum comes out to be 180° are said to be supplementary angles. These angles can be adjacent or not adjacent.

Linear pair on the other hand is a pair of angles that are adjacent and their comes out to be 180° are linear pair. Linear pair always form a line.

For example,

let us take two angles A= 110° and B=70°

The angles have been drawn in figure 1. Notice that sum of two angles is 180° but these two angles are not adjacent and do not form a line. Hence, these angles are only supplementary.

let us assume another angles A=120° and B=60°.

The angles have been drawn in figure 2. Notice that sum of two angles is 180° and these two angles are also adjacent and do form a line. Hence, these angles are not only supplementary but also linear.

Hence, we can form a relationship between linear and supplementary that All linear pairs are always supplementary. But the inverse is not true.

Relationship is that sum of both is equals to 180

For this case, we have that by definition:

The supplementary angles are those that in pair add up to 180 degrees.

On the other hand, a linear pair is a pair of adjacent angles formed when two lines intersect each other.

By definition, the two angles of a linear pair are always supplementary, this means that their measurements add up to 180 degrees.

The two angles of a linear pair are always supplementary

Relationship between a linear pair and supplementary angles is " If two angles form a linear pair then they are supplementary."

Step-by-step explanation:

Supplementary angles are two angles whose sum is 180°.

Linear pair is a pair of two angles that forms a straight line.

We have to find the relationship between a linear pair and supplementary angles.

Since A linear pair forms a straight line so angle formed at any point on the straight line is 180°, thus forms supplementary angles.

Thus, Relationship between a linear pair and supplementary angles is " If two angles form a linear pair then they are supplementary."