Same-Side interior Angles Theorem
If two parallel lines are intersected my a transversal, then the same-side interior angles are supplementary
The Same-Side Interior Angles Theorem states that when two parallel lines are intersected by a transversal, the pairs of angles on the same side of the transversal and on the inside of the parallel lines add up to 180 degrees.
In other words, if we have two parallel lines (line AB and line CD) and a transversal (line EF) that intersects these parallel lines, then the pairs of angles on the same side of the transversal (angles AEF and DEF, as well as angles BEF and CEF) will always add up to 180 degrees.
This theorem can be helpful in solving various geometry problems involving parallel lines and transversals. For example, if we know the measurement of one of the same-side interior angles, we can use the theorem to find the measurement of the other angle. Or if we know the measurements of both angles, we can use the theorem to confirm whether or not the lines are indeed parallel.
In summary, the Same-Side Interior Angles Theorem is an important concept in geometry that helps us to understand the relationship between angles formed by parallel lines and a transversal.
More Answers:
The Properties Of Circles: Circumference, Area, Chord, Tangent, Secant, And ArcsConverse Of The Alternate Interior Angles Theorem: Two Lines Are Parallel If Alternate Interior Angles Are Congruent.
The Corresponding Angles Postulate And Its Converse In Geometry