Same Side Consecutive Angles
When the two lines being crossed are parallel lines the consecutive interior angles add up to 180. To help you remember.
Consecutive interior angles are the pairs of angles that are between two lines and on the same side of the line cutting through the two lines.
Same side consecutive angles. On one side of the transversal but inside the two lines are called consecutive interior angles. Definition theorem. Consecutive interior angles when two lines are cut by a transversal the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.
Proof consecutive angles of parallelogram are supplementary duration. The angle pairs are consecutive they follow each other and they are on the interior of the two crossed lines. 4 and 5 are on the same side of that transversal.
Also the angles 4 and 6 are consecutive interior angles. Click on consecutive interior angles to have them highlighted for you. In the figure the angles 3 and 5 are consecutive interior angles.
When two lines are crossed by another line which is called the transversal the pairs of angles. C and e are consecutive interior angles. So if two parallel lines are intersected by a transversal then same side i ll say interior since this is in between angles are supplementary.
We call the third line or the line crossing the other two lines the transversal. Angles 4 and 5 indicated in green are also same side interior angles. D and f are consecutive interior angles.
Consecutive interior angles theorem. And line t is the transversal line intersecting lines a. Same side interior angles converse theorem if two coplanar lines are cut by a transversal so that a pair of same side interior angles are.
The two angles circled in blue make one pair of consecutive interior angles and the other two angles circled in red make another pair of consecutive interior angles. When the two lines are parallel any pair of consecutive. Move point e or f and analyze the relationship between the measurements.
Use what you notice to complete the definition. Notice how both pairs are between the two lines and are both on the same side of the third line. Vertical adjacent same side interior alternate interior exterior.
Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same side exterior angles. Well same side interior angles would be 4 and 5 so notice we have parallel lines and the transversal. Angles 3 and 6 indicated in pink are same side interior angles.
The theorem states that if the two lines are parallel then the consecutive interior angles are supplementary to each other.
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