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Identify pairs of corresponding, alternate, and interior angles given that AB // CD.
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Here are the solutions to the problems based on the figure where AB // CD:
a) 2 pairs of equal corresponding angles.
Corresponding angles are in the same relative position at each intersection.
i)
ii)
(Other valid pairs include: , , , , , )
b) 2 pairs of equal alternate angles.
Alternate angles are on opposite sides of the transversal.
i) (Alternate interior angles)
ii) (Alternate interior angles)
(Other valid pairs include: , for interior; , , , for exterior)
c) 2 pairs of interior angles which are supplementary.
Interior angles on the same side of the transversal are supplementary (add up to ).
i)
ii)
(Other valid pairs include: , )
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