How do you prove the same side of an interior angle?

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. Since the sum of the two interior angles is 202°, therefore the lines are not parallel.

Are same side interior angles supplementary or congruent?

supplementary
Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

What is the definition of same side exterior angles?

Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.

Is same side interior supplementary?

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: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

Which of the following are same side interior angles?

Same-side interior angles are formed when a transversal line intersects two or more lines. When the lines that the transversal intersects are parallel, you get same-side interior angles that are supplementary, or add up to 180 degrees.

What is interior angles on the same side of the transversal?

Angles on the same side of the transversal are angles that are in one of the half-planes formed by the transversal. Usually this term is combined with interior or exterior angles to define “interior angles on the same side of the transversal” and “exterior angles on the same side of the transversal”.

What is linear pair in geometry?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.

Why are same side interior angles congruent?

Same side interior angles are on the same side of the transversal. Same side interior angles are congruent when lines are parallel.

What are same side consecutive angles?

Consecutive Interior Angles These consecutive angles lie on the interior region of the two parallel lines and on the same side of the transversal. They are also known as same side interior angles or co-interior angles.

What is true about same side interior angles?

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.