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 ∠ 2 = 48^(∘), then the measure of ∠ 3 = .
First, let's take a look at the given graph. We know that the measure of ∠ 2 is 48^(∘).
Note that ∠ 2 and ∠ 6 form a straight line, which means they are supplementary angles. Therefore, their measures add up to 180^(∘) .
48^(∘)+∠ 6 =180^(∘) ⇕ ∠ 6 = 132^(∘)
The measure of ∠ 6 is 132^(∘). Next, notice that lines a and b are parallel and cut by the transversal c. We can use this fact to find the measure of ∠ 3.
We can see that ∠ 3 and ∠ 6 are corresponding angles. Corresponding angles are congruent so the measure of ∠ 3 is also 132^(∘). Let's complete our statement.
If the measure of ∠ 2 = 48^(∘), then the measure of ∠ 3 = 132^(∘).
