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Answer:
i. {c, e} or {d, f}
ii. {c, f} or {d, e}
iii. {a, b} or {a, d} or {b, c} or {c, d} or {e, f} or {f, g} or {g, h} or {e, h}
iv. {a, f} or {b, e} or {c, h} or {d, g}
Step-by-step explanation:
(i) Co-interior angles are on the same side of transversal I, and between the parallel lines. {c, e} or {d, f} are pairs of co-interior angles.
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(ii) Alternate interior angles are interior angles (between the parallel lines) that are on opposite sides of the transversal. (Linear pairs are excluded.) {c, f} or {d, e} are pairs of alternate interior angles.
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(iii) A linear pair are angles that share a common side, and the non-shared sides are opposite rays, forming a line. There are 4 linear pairs formed at each intersection of two lines. Here, they are {a, b} or {a, d} or {b, c} or {c, d} or {e, f} or {f, g} or {g, h} or {e, h}.
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(iv) Corresponding angles are in the same direction from the intersection of the transversal with a parallel line. For example, angles 'a' and 'f' are both in the northwest corner of the intersection, so are corresponding angles. Here, the corresponding angle pairs are {a, f} or {b, e} or {c, h} or {d, g}.
