Two positive angles whose measures have a sum of 180^(∘).
Nonadjacent
Two angles that do not share a common vertex and/or do not share a common side.
∠ FGH and ∠ LJM
Practice makes perfect
Let's start by defining supplementary and adjacent angles.
Type of angle
Description
Supplementary
Two positive angles whose measures have a sum of 180^(∘).
Nonadjacent
Two angles that do not share a common vertex and/or do not share a common side.
Now, let's consider the given diagram. According to the table, we are looking for pairs of angles whose measures add up to 180^(∘) and which do not share a common side and/or a vertex.
Looking on the diagram, we can see two pairs of angles whose sum of measures is 180^(∘).
m∠ FGH + m∠ LJM: & 124^(∘)+ 56^(∘)=180^(∘)
m∠ LJK + m∠ LJN: & 90^(∘)+ 90^(∘)=90^(∘)
However, only ∠ FGH and ∠ LJM are nonadjacent.
