Can you think of a relationship between ∠ 4 and ∠ 5?
84^(∘), see solution.
Practice makes perfect
We want to find the measure of ∠ 5. Let's take a look at the photo of a portion of an airport.
We are told that the measure of ∠ 4 is 84^(∘). Note that ∠ 4 and ∠ 5 lie between lines a and b on opposite sides of the transversal, so they are alternate interior angles. Because lines a and b are parallel, ∠ 4 and ∠ 5 are congruent. This means that the measure of ∠ 5 is equal to the measure of ∠ 4.
∠ 4 = ∠ 5
If the measure of ∠ 4 is 84^(∘), then the measure of ∠ 5 is also 84^(∘).
Extra
Types of Angle Pairs
There are different types of angle pairs. We will describe them using the example graph of two lines intersected by a transversal.
Now we will list all of the types of angle pairs together with their definitions and corresponding examples.
