Analyze which lines form the angles. Note that angles ∠ 1 and ∠ 2 form a right angle together.
Complementary, the sum of the angles is a right angle.
Practice makes perfect
We are given a diagram representing the side of a industrial shelving. Since it needs additional support, some transverse members are added. In this exercise we are asked to find the relationship between angles ∠ 1 and ∠ 2. Let's find these angles on the given diagram.
In order to find the relationship between the angles ∠ 1 and ∠ 2, we should know which lines form these two angles. We can use our diagram to identify these lines. We will name the endpoints of the lines so the following explanations will be easier.
As we can see, angles ∠ 1 and ∠ 3 create the angle ∠ ABC. On the diagram, ∠ ABC is denoted with a square angle marker. This means that it is a right angle. Therefore, the sum of m∠ 1 and m∠ 2 equals 90^(∘).
m∠ 1+m∠ 2=90^(∘)
Angles which satisfy such equation and form a right angle are called complementary angles. This means that angles ∠ 1 and ∠ 2 are complementary angles.
