# Question #366ac

Jan 8, 2018

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

#### Explanation:

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 $\cancel{X} + D = \cancel{X} + W$

$\therefore D = W$ 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