29.1k views
2 votes
What are the Same-Side Exterior Angles (on parallel lines)?

1) Congruent angles
2) Supplementary angles
3) Alternate Interior angles
4) Alternate Exterior angles

1 Answer

6 votes

Final answer:

Same-Side Exterior Angles on parallel lines are supplementary, meaning they add up to 180 degrees. This is a key property used in geometry to solve problems and prove theorems regarding angles and lines.

Step-by-step explanation:

Same-Side Exterior Angles on parallel lines are always supplementary angles, which means they add up to 180 degrees. This is one of the properties that arise when two parallel lines are cut by a transversal. When discussing properties of lines and angles in geometry, making distinctions between various types of angles helps in solving problems and proving theorems. For instance, understanding that Same-Side Exterior Angles are supplementary can be used in conjunction with other geometric principles to find unknown angles and prove relationships in geometric figures.For further context, it's useful to look at another property like alternate exterior angles, which are on opposite sides of the transversal and outside the parallel lines, and these angles are congruent or equal to each other. Likewise, knowing that angles sum to 180 degrees in a triangle is a foundational geometric fact that allows us to understand other angle relationships.

User Marek Lisiecki
by
8.0k points