## Same Side Interior Angles

### Same side interior angles are a pair of angles that are located on the same side of a transversal and inside the parallel lines

Same side interior angles are a pair of angles that are located on the same side of a transversal and inside the parallel lines. Transversal is a line that intersects two or more parallel lines. When a transversal intersects two parallel lines, it creates eight angles. Same side interior angles are formed when the transversal intersects the parallel lines such that the angles are on the same side of the transversal and inside the parallel lines.

In the diagram below, let lines l and m be parallel lines and line t be the transversal that intersects both l and m.

a–b

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______|__|_______

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c–d

In this diagram, angles a and b are located on the same side of transversal t and inside the parallel lines l and m. Similarly, angles c and d are also same side interior angles.

The important property of same side interior angles is that their sum is always equal to 180 degrees. So, if angle a is x degrees and angle b is y degrees, then x + y = 180 degrees. The same property holds for angles c and d as well.

Understanding same side interior angles is important in solving problems related to properties of parallel lines and transversals, such as angles in a triangle, alternate interior angles, and corresponding angles.

##### More Answers:

Understanding Corresponding Angles | Definition, Types, and Applications in GeometryUnderstanding Linear Pairs | Explaining Adjacent Angles Formed by Intersecting Lines

Understanding Alternate Interior Angles | Properties and Applications