Two positive angles whose measures have a sum of 90^(∘).
Adjacent
Two angles that share a common vertex and side.
∠ LJM and ∠ MJN
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^(∘).
Adjacent
Two angles that share a common vertex and side.
Now, let's consider the given diagram. According to the table, we are looking for pairs of angles with a common vertex, a common side, and whose measures add up to 90^(∘).
Looking at the diagram, we can see two pairs that add to 90^(∘).
m∠ LJM + m∠ MJN: & 56^(∘)+ 34^(∘)=90^(∘)
m∠ FGE + m∠ NJP: & 41^(∘)+ 49^(∘)=90^(∘)
However, only ∠ LJM and ∠ MJN are adjacent angles as they share a common side JM and vertex J.
