Lie outside the two parallel lines on opposite sides of the transversal
With this in mind, we want to find the measure of the ∠2. Let's take a look at the given graph.
From the graph, we can see that lines a and b are parallel and cut by a transversal t. The 107^(∘) angle and ∠1 are corresponding angles, so ∠1 and the 107^(∘) angle are congruent. Let's add this information to our graph.
Next, notice that ∠1 and ∠2 form a straight line. This means that they are supplementary angles and their measures add up to 180^(∘). We can use this information to find the measure of ∠2. Let's name the measure of ∠2 as x and find its value.
x+ 107^(∘)=180^(∘) ⇕ x=73^(∘)
We found that the measure of ∠2 is 73^(∘). This means that B is the correct option.
