Question
In the figure above, line t intersects lines and k. Which of the following statements, if true, would imply that lines and k are parallel?
- w = y
- w = z
- x = z
- x + y = 180
The correct answer is: w = z
HINT : if y = z by converse of corresponding angles theorem the lines l and k are said to be parallel.
The converse of corresponding angles theorem states that If the corresponding angles in the two intersection regions are congruent, then the two lines are said to be parallel .
If y = z then l and k lines are parallel to each other .
But we know that w = y (vertically opposite angles are equal .
If y = z and w = y then , w = z can also prove that the lines l and k are parallel.
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