What is the relationship between a linear pair and supplementary angles

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

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 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."

Relationship is that sum of both is equals to 180

If two angles form a linear pair, then the angles are also supplementary.

Step-by-step explanation: