When lines are parallel same side interior angles are?
Same side interior angles are congruent when lines are parallel.
How do you prove parallel lines with the same side interior angles?
Apply the Same-Side Interior Angles Theorem in finding out if line A is parallel to line B. The theorem states that the same-side interior angles must be supplementary given the lines intersected by the transversal line are parallel. If the two angles add up to 180°, then line A is parallel to line B.
When parallel consecutive interior angles are?
When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°.
What is interior angle test for parallel lines?
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent . So, in the figure below, if k∥l , then ∠2≅∠8 and ∠3≅∠5 .
What are same side interior angles called?
Same side interior angles are on the same side of the transversal. Same side interior angles are congruent when lines are parallel.
Which pair of angles is an example of 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. In the figure, the angles 3 and 5 are consecutive interior angles.
How do you prove lines are parallel?
If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel. If two lines are parallel to the same line, then they are parallel to each other.
What are examples of interior angles?
Interior Angle. An angle on the interior of a plane figure. Examples: The angles labeled 1, 2, 3, 4, and 5 in the pentagon below are all interior angles.
What is the same side interior theorem?
The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees. 0.0.
What do same side interior angles equal?
The sum of same-side interior angles is equal to 180 degrees. A transversal line is a line that intersects other lines. Parallel lines are lines that run alongside each other that never intersect.
What is the definition of same side exterior angles?
Same Side Exterior Angles. Definition: Same-side exterior angles are a pair of angles formed by two lines and a transversal and are located on the same side of the transversals and outside (on the exterior of) the two lines. 1 and 8 are same-side interior angles.