If 2 angles are adjacent, can it also be said they form a linear pair? Why?
Yes they can. They are two angles next to each other that share the same side that will add up to 180 degrees. For instance, angles of measurements 45 degrees and 135 degrees are together and form a straight line making them both adjacent and forming a linear pair.
However, this does not mean that it can always be said that they form a linear pair.
Consider ABC adjacent to CBD where both are 20 degrees. They are adjacent, but do not form a linear pair, because they are not supplementary.
To determine if two angles that are adjacent also form a linear pair, we need to understand the definition of each term.
1. Adjacent angles: Two angles are said to be adjacent if they share a common side and a common vertex, but do not overlap. In other words, they are side by side.
2. Linear pair: Two angles are considered to form a linear pair if the sum of their measures is equal to 180 degrees. When two lines intersect, the opposite angles formed are called linear pairs.
Now, we can answer the question: Can two adjacent angles also form a linear pair?
In general, adjacent angles do not always form a linear pair. For a linear pair to exist, the angles must be formed by the intersection of two straight lines. However, adjacent angles can only form a linear pair when these angles are supplementary, i.e., their measures sum up to 180 degrees.
To determine if two adjacent angles form a linear pair, we can find their measures and check if they add up to 180 degrees. If they do, then they form a linear pair; otherwise, they do not.