Question #366ac

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Answer 1 · 2018-01-08T13:37:11

#X-C, W-D# are the alternate angle pairs

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nswer: When a transversal cuts (or intersects) parallel lines several pairs of congruent and supplementary angles are formed.

Refer figure above

#X + D = 180# as they are supplementary, since lines P & V are parallel.

#X + W = 180# as they are supplementary.

That means #cancel(X) + D = cancel(X) + W#

#:. D = W# which are alternate angles.

#X-C, W-D# are the alternate angle pairs

#Z-D, X-B, Y-C, W-A# are the corresponding angle pairs

#Z-W, X-Y, A-D, B-C# are the vertically opposite angles pairs