Write a conditional statement that represents the relationship between supplementary angles and linear pairs.
Let us first have a look at what are supplementary angles and linear pairs.
Supplementary Angles:
When two angles add up to 180° then these angles are called supplementary angles.
Linear Pairs:
When two lines intersect, a linear pair of angles is formed.
These are adjacent angles and their sum is equal to 180°
Now let us come to the relationship between supplementary angles and linear pairs.
All linear pairs are supplementary.
So the conditional statement is:
If two angles are linear pairs, then they are supplementary.
Now let us come to the question can you write a biconditional statement?
Biconditional means two angles are linear pairs if and only if they are supplementary.
But being supplementary is not the only condition that linear pairs are supposed to follow!
Since being adjacent angles is also a condition for linear pairs.
Therefore, you can't write a biconditional statement for the above conditional statement
Two angles can be supplementary but not linear pairs.
For example: