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: The sum of two adjacent angles is 180 and forms a linear pair but if there are three angles and sum is 180 then that is necesssarily not a linear pair. Such angles are called supplementary angles.
Let's understand in detail.
Explanation:
A linear pair is defined as the adjacent angles that add upto 180° or two angles which when combined form a line or a straight angle.
We can have three angles that are supplementary, but not necessarily adjacent.
So, they are supplementary angles 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.
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