They lie in corresponding positions on the same side of the transversal.
∠ 3 and ∠ 7
Now, we want to complete the following statement.
If the measure of ∠ 4 = 55^(∘), then the measure of ∠ 2 = .
First, let's take a look at the given graph. We know that the measure of ∠ 4 is 55^(∘).
Note that ∠ 2 and ∠ 4 lie between lines a and b on opposite sides of the transversal c, so they are alternate interior angles. Because lines a and b are parallel ∠ 2 and ∠ 4 are congruent. This means that the measure of ∠ 2 is also 55^(∘). Let's complete our statement.
If the measure of ∠ 4 = 55^(∘), then the measure of ∠ 2 = 55^(∘).
