They lie outside the two lines on opposite sides of the transversal.
∠ 2 and ∠ 7
We want to complete the following statement.
If the measure of ∠ 6 = 120^(∘), then the measure of ∠ 8 = .
First, let's take a look at the given graph. We are told that the measure of ∠ 6 is 120^(∘).
Note that ∠ 6 and ∠ 8 lie outside lines a and b on opposite sides of the transversal c, so they are alternate exterior angles. Because lines a and b are parallel, ∠ 6 and ∠ 8 are congruent. This means that the measure of ∠ 8 is also 120^(∘). We can now complete our statement.
If the measure of ∠ 6 = 120^(∘), then the measure of ∠ 8 = 120^(∘).
