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Are the labeled angles interior or exterior?
∠ 1 and ∠ 2: same-side interior angles
∠ 3 and ∠ 4: corresponding angles
∠ 5 and ∠ 6: corresponding angles
Before we consider the pairs of highlighted angles, let's review the definitions of the types of angles pairs that can be formed by a transversal.
Analyzing them, we can see that both ∠ 1 and ∠ 2 are interior and they lie on same side of the transversal. They must be same-side interior angles.
Now, consider the angles labeled ∠ 3 and ∠ 4.
We can see that ∠ 4 is interior, but ∠ 3 is exterior and they are on the same side of the transversal. They are corresponding angles.
Finally, let's consider the angles labeled ∠ 5 and ∠ 6.
We can see that ∠ 5 is interior, but ∠ 6 is exterior and they are on the same side of the transversal. Therefore, they are also corresponding angles.