Two positive angles whose measures have a sum of 90^(∘).
Nonadjacent
Two angles that do not share a common vertex and/or do not share a common side.
∠ EGF and ∠ NJP
Practice makes perfect
Let's start by defining complementary and adjacent angles.
Type of angle
Description
Complementary
Two positive angles whose measures have a sum of 90^(∘).
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 90^(∘) and which do not share a common side and/or a vertex.
Looking at the diagram, we can see two pairs that add to 90^(∘).
m∠ LJM + m∠ MJN: & 56^(∘)+ 34^(∘)=90^(∘)
m∠ EGF + m∠ NJP: & 41^(∘)+ 49^(∘)=90^(∘)
However, only ∠ EGF and ∠ NJP are nonadjacent angles.
