Adjacent angles are two angles that have the same vertex, share a side, and do not overlap. In the picture below,
A linear pair is two angles that are adjacent and whose non-common sides form a straight line. If two angles are a linear pair, then they are supplementary.
What is the value of each angle?
These two angles are a linear pair, so they are supplementary, or add up to
So, plug in
Identifying Linear Pairs
The two angles are not a linear pair because they do not have the same vertex. However, they are supplementary,
2. Name one linear pair in the diagram below.
One example is
The following Examples use the diagram below:
For 1-5, determine if the statement is true or false.
- Linear pairs are congruent.
- Adjacent angles share a vertex.
- Adjacent angles overlap.
- Linear pairs are supplementary.
- Supplementary angles form linear pairs.
Find the measure of an angle that forms a linear pair with
54∘ 32∘ 104∘ 71∘ 149∘ x∘
For 12-16, find the value of
To view the Review answers, open this PDF file and look for section 1.9.