Their Are Three Angles and Sum Is 180 Its Could Be Linear Pair or Not


Question: As we know the sum of two adjacent angles is 180 and forms a linear pair but if there are three angles and sum is 180 could it be linear pair or not?

If the sum of two adjacent angles is 180°,  then the non-common arms of the angles form a line.

Answer: Sum of two adjacent angles is 180 and forms a linear pair but if there are three angles and sum is 180 is necesssarily not a linear pair. Such angles are called supplementary angles.

Let's understand in detail.

Explanation:

A linear pair is defined as adjacent angles that adds upto 180° or two angles which when combined forms a line or a straight angle.

We can have three angles that are supplementary, but not necessarily adjacent.

So, they are supplementary but not necessarily a linear pair as they don't always form a straight line.

For example, angles in any triangle sum up to 180° but they are not a linear pair.

Thus, angles that add up to 180° do not always form a linear pair.