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In the figure AB // CD. List 2 pairs of equal corresponding angles and 2 pairs of equal alternate angles.

Mathematics

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Q1: In the figure AB // CD. List,

a) 2 pairs of equal corresponding angles.
Corresponding angles are in the same relative position at each intersection.

i) ∠f=∠j\angle f = \angle j

ii) ∠e=∠i\angle e = \angle i (Other valid pairs: ∠g=∠k\angle g = \angle k, ∠h=∠l\angle h = \angle l, ∠b=∠n\angle b = \angle n, ∠a=∠m\angle a = \angle m, ∠c=∠o\angle c = \angle o, ∠d=∠p\angle d = \angle p)

b) 2 pairs of equal alternate angles.
Alternate angles are on opposite sides of the transversal.

i) ∠h=∠i\angle h = \angle i (Alternate interior angles)

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