They lie outside the two lines on opposite sides of the transversal.
∠ 8 and ∠ 1
We want to complete the following statement.
If the measure of ∠ 3 = 118.7^(∘), then the measure of ∠ 2 = .
First, let's take a look at the given graph. We are told that the measure of ∠ 3 is 118.7^(∘).
Note that ∠ 3 and ∠ 7 form a straight line, so they are supplementary angles. This means that their measures add up to 180^(∘) .
118.7^(∘)+∠ 7 =180^(∘) ⇕ ∠ 7 = 61.3^(∘)
The measure of ∠ 7 is 61.3^(∘). Next, let's notice that lines a and b are parallel and cut by the transversal c. We will use this fact to find the measure of ∠ 2.
We can see that ∠ 2 and ∠ 7 are corresponding angles. Corresponding angles are congruent so the measure of ∠ 2 is also 61.3^(∘). Let's complete our statement.
If the measure of ∠ 3 = 118.7^(∘), then the measure of ∠ 2 = 61.3^(∘).
