### Home > GC > Chapter 6 > Lesson 6.2.2 > Problem6-50

6-50.

Examine the diagram at right. Based on the information below, what statement can you make about the relationships between the lines? Be sure to justify each conclusion. Remember: each part below is a separate problem.

1. $p=h$

1. $w=k$

1. $r=q$

1. $z + k = 160°$

When do alternate interior angles have equal measures?

If $p=h$, then $l$ and $m$ are parallel.

If two angles which form a straight angle are equal, what must their measures be?

n is perpendicular to $m$ because $w$ and $k$ are both $90°$.

Under what circumstances are vertical angles equal?

Is there anything special about angles that add up to $160°$?