The 16 pairs of supplementary angles for the two parallel lines include the following;
- S and V
- S and T
- V and U
- U and T
- Z and W
- Y and X
- W and X
- Z and Y
- T and W
- U and Z
- S and X
- S and Z
- V and Y
- V and W
- T and Y
- U and X
In Mathematics and Euclidean Geometry, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both intersect at a point or form a linear pair.
By applying the linear pair theorem to the figure, we can logically deduce the following supplementary angles:
- S and V
- S and T
- V and U
- U and T
- Z and W
- Y and X
- W and X
- Z and Y
By applying the converse of same side interior angles postulate, we have the following supplementary angles:
- T and W
- U and Z
By applying the converse of same side exterior angles postulate, we have the following supplementary angles:
- S and X
- V and Y
Based on the transversal cutting through the two parallel lines, we have the following supplementary angles:
- S and Z
- V and W
- T and Y
- U and X