When two parallel lines are intersected by a transversal same side interior between the parallel lines and same side exterior outside the parallel lines angles are formed. So if B and L are equal or congruent the lines are parallel.

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### The same-side interior angles theorem states that same-side interior angles are supplementary when the lines intersected by the transversal line are parallel.

**Same side interior**. This is a proof of the Same-side interior angle theorem. Using NO as a transversal N and O are same-side interior angles so they are supplementary. Using OP as a transversal O and P are same-side interior angles so they are supplementary.

We know that same side interior angles are supplementary so their measures add up to 180. The same-side interior angles are two angles that are on the same side of the transversal line and in between two intersected parallel lines. Learn about Alternate Interior Angles.

Click on Consecutive Interior Angles to have them highlighted for you. Which statements should fill in the blanks in the last line of the proof. Using NO as a transversal N and O are same-side interior angles so they are supplementary.

Angle Pairs Alternate Interior Alternate Exterior Corresponding Same Side Interior Same Side Exterior A. The same side interior angle theorem states. Therefore _____ and _____ because they are supplements of the same angle.

If two parallel lines are cut by a transversal then the same side interior angles are supplementary. Given Two parallel lines AB and CD and a transversal PS intersecting AB at Q and CD at R. Therefore _____ and _____ because they are supplements of the same angle.

Which statements should fill in the blanks in the last line of the proof. A transversal line is a straight line that intersects one or more lines. Same side interior angles can be recognized by being between two parallel lines and on the same side of the transversal.

Two lines are said to be parallel when they have the same slop. When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180. Same side interior angles are two angles that are on the same side of the transversal and on the interior of between the two lines.

Learn how to solve for an unknown variable using parallel lines and a transversal theorems. If two parallel lines are cut by a transversal then the same side interior angles are supplementary. The angle pairs are Consecutive they follow each other and they are on the Interior of the two crossed lines.

If two parallel lines are cut by a transversal then the same side interior angles are supplementary. By the definition of a parallelogram AB. Same-side interior angles are a pair of angles on one side of a transversal line and on the inside of the two lines being intersected.

Same side interior angles are two angles that are on the same side of the transversal and on the interior of between the two lines. Same Side Interior Angles Theorem. Same-Side Exterior Angles Theorem If two parallel lines are cut by a transversal then the same-side exterior angles are supplementary.

Same Side Interior Angles Same side interior angles are two angles that are on the same side of the transversal and on the interior of between the two lines. Same Side Interior Angles Theorem. Using OP as a transversal O and P are same-side interior angles so they are supplementary.

What is a transversal line you may wonder. If a transversal intersects two parallel lines each pair of same side interior angles are supplementary their sum is 180. Since alternate interior and alternate exterior angles are congruent and since linear pairs of angles are supplementary same side angles are supplementary.

When two lines are crossed by another line called the Transversal Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. Conversely if a transversal intersects two lines such that a pair of same side interior angles are supplementary then the two lines are parallel. This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both same-side interior angles are formed and also sum 180ยบ in other words they are supplementary angles.

1 Same Side Interior Angles Theorem. Share this Graph Copy Sharing Link Embed In Your Website Drag Points Of The Lines To Start Demonstration. Same-Side Interior Angles Theorem If two parallel lines are cut by a transversal then the same-side interior angles are supplementary.

To help you remember. Same Side Interior angles are the angle pairs that are on the insides of the two lines the interior and on the same side of the transversala experior angle of a triangle is to the 2 opposit.

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