They lie outside the two lines on opposite sides of the transversal.
∠ 2 and ∠ 7
We are asked to complete the following statement.
If the measure of ∠ 7 = 50.5^(∘), then the measure of ∠ 6 = .
First, let's take a look at the given graph. We know that the measure of ∠ 7 is 50.5^(∘).
Note that ∠ 7 and ∠ 3 form a straight line. Therefore they are supplementary angles and their measures add up to 180^(∘) .
50.5^(∘)+∠ 3 =180^(∘) ⇕ ∠ 3 = 129.5^(∘)
The measure of ∠ 3 is 129.5^(∘). 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 ∠ 6.
We can see that ∠ 3 and ∠ 6 are corresponding angles. Corresponding angles are congruent, which means that the measure of ∠ 6 is also 129.5^(∘). Let's complete our statement.
If the measure of ∠ 7 = 50.5^(∘), then the measure of ∠ 6 = 129.5^(∘).
