Question

As we know the sum of two adjacent angles is \[{{180}^{\circ }}\] and formed linear pair but if there are three angles and sum is \[{{180}^{\circ }}\] it could be linear pair or not?

Answer 1

Hint: In this problem, we are given that the sum of two adjacent angles is \[{{180}^{\circ }}\] and formed linear pair, we have to find if there are three angles and sum is \[{{180}^{\circ }}\] it could be linear pair or not. We know that the sum of two adjacent angles is 180 and forms a linear pair but if there are three angles and sum is \[{{180}^{\circ }}\] is necessarily not a linear pair, such angles are called supplementary we can now see in detail.

Complete step-by-step answer:
Here we are given that the sum of two adjacent angles is \[{{180}^{\circ }}\] and formed linear pair, we have to find if there are three angles and sum is \[{{180}^{\circ }}\]it could be linear pair or not.
We should know that a linear pair is defined as adjacent angles that add up to \[{{180}^{\circ }}\] or two angles when combined forms a line or a straight angle.
We can have three angles that are supplementary but nor adjacent.
So, we can say that they are supplementary but not necessarily a linear pair as they don’t always form a straight line.
Therefore, the angles that add up to \[{{180}^{\circ }}\] do not always form a linear pair.

Note: We should always remember that We should know that a linear pair is defined as adjacent angles that adds up to \[{{180}^{\circ }}\] or two angles when combined forms a line or a straight angle.We can have three angles that are supplementary but nor adjacent.