SOLUTION: If parallel lines are intersected by a transversal that is not perpendicular to them, how many pairs of nonadjacent supplementary angles are formed?

Question 251188: If parallel lines are intersected by a transversal that is not perpendicular to them, how many pairs of nonadjacent supplementary angles are formed?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Draw two horizontal parallel lines and a non-perpendicular transversal cross from bottom left to top right. Label the top four angles 1, 2, 3, 4 from top left clockwise. Label the bottom four angles 5, 6, 7, 8 starting below the 4 also clockwise.
here are the pairs that are non-adjacent supplementaries:
1,6 ; 1,8 ; 2,5 ; 2,7 ; 3,6 ; 3,8 ; 4,5 ; 4,7.
A total of 8.
RELATED QUESTIONS
If a transversal is perpendicular to one of two parallel lines, how many different angle (answered by Edwin McCravy)

If 2 Parnell lines are intersected by a transversal prove that bisector of interior angle (answered by math_helper)

prove two statements below are equivalent. If two line cut by transversal, the interior... (answered by gonzo)

How do I proove that to lines are parallel if I am given a transversal and the angles... (answered by solver91311)

Complete each statement with the word always, sometimes, or never. In a plane, two lines (answered by jim_thompson5910)

two parallel lines are intersected by a transversal forming alternate interior angles: 6x (answered by richwmiller)

The question asks: Which of the following angles are congruent? If they aren't congruent, (answered by solver91311)

1. If two lines are cut by a transversal, the corresponding angles are equal in measure. (answered by Jk22)

If two lines are cut by a transversal so that exterior angles on the same side of the... (answered by ikleyn)