Step-by-step explanation:
1. Alternate angles are on opposite sides of the transversal. Interior angles are angles that are between the parallel lines. (Exterior angles are outside the parallel lines.)
Two pairs of alternate interior angles are ...
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2. Corresponding angles are ones that are on matching corners of the intersections of the transversal with the parallel lines. ∠2 and ∠6 are corresponding, because they both are on the Northeast corner of their respective intersections. In general, one will be an interior angle, and the other will be an exterior angle with respect to two parallel lines.
Same-side interior angles are on different corners of the intersection, and both are interior. (Same-side exterior angles are on different corners of the intersection, and both are exterior.)
Pairs of corresponding angles and pairs of same-side angles are on the same side of the transversal.
There are four pairs of corresponding angles:
- ∠1 and ∠5
- ∠2 and ∠6
- ∠3 and ∠7
- ∠4 and ∠8
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3. The two pairs of same-side interior angles are ...
If either pair has a sum of 180°, lines p and q will be parallel.