if two angles are supplementary, then they form a linear pair
Yes, that is correct. Two angles are said to be supplementary if the sum of their measures is equal to 180 degrees. When two angles are supplementary, they form a straight line and therefore form a linear pair.
No, that statement is not correct. If two angles are supplementary, it means that the sum of their measures is 180 degrees.
On the other hand, two angles form a linear pair if they are adjacent angles formed by two intersecting lines. In a linear pair, the angles are supplementary, which means their measures add up to 180 degrees.
So, while it is true that two angles forming a linear pair are always supplementary, the converse is not always true. Two supplementary angles may or may not form a linear pair.
To determine whether two angles are supplementary or form a linear pair, you need to understand the definitions of these terms.
Supplementary angles: Two angles are said to be supplementary if the sum of their measures is 180 degrees. In other words, if you have two angles, and when you add up their measures it equals 180 degrees, then they are supplementary.
Linear pair: A linear pair is formed when two adjacent angles are formed by a straight line. In other words, if you have two angles that share a common side and their non-common sides form a straight line, then they form a linear pair.
Now, let's apply this understanding to address your question. If two angles are supplementary, it means their measures add up to 180 degrees. Now, if these two angles are formed by a straight line, it automatically follows that their non-common sides form a straight line, satisfying the definition of a linear pair.
In summary, if two angles are supplementary, it implies that they add up to 180 degrees, which in turn means that they form a straight line when placed adjacent to each other. Therefore, two angles that are supplementary form a linear pair.