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.

How do you prove that all side exterior angles are supplementary?

Video quote: So let's get to work the proof is very similar to the same side interior angles proof I know that angle 1 plus angle 3 is equal to 180 degrees by the definition of supplementary.

Are exterior angles on the same side of the transversal supplementary?

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

Are the exterior angles of a transversal a supplementary angle Why?

If the transversal cuts across parallel lines (the usual case) then exterior angles are supplementary (add to 180°). So in the figure above, as you move points A or B, the two angles shown always add to 180°.

How do you prove angles are supplementary?

Supplementary Angles

1. Let the measure of one of the supplementary angles be a .
2. Measure of the other angle is 2 times a .
3. So, measure of the other angle is 2a .
4. If the sum of the measures of two angles is 180° , then the angles are supplementary.
5. So, a+2a=180°
6. 3a=180°

Are exterior angles supplementary?

The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.

Which are alternate exterior angles?

Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

What is exterior angles found on opposite side of the transversal?

Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles. Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8.

Is alternate exterior congruent or supplementary?

congruent

Since alternate interior and alternate exterior angles are congruent and since linear pairs of angles are supplementary, same side angles are supplementary.

What do you call angles that are on the same side of the transversal and on the same side of parallel lines?

The same side interior angles are also known as consecutive interior angles as the angles are on one side of the transversal but inside the two parallel lines.

How do you prove the same side interior angles theorem?

Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary. If l∥m, then m∠1+m∠2=180∘.

How would you identify angle pairs like same side interior angles and same side exterior angles?

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.

Are two angles one interior and the other exterior on the same side of the transversal?

When a transversal intersects two lines, the two lines are parallel if and only if interior angles on the same side of the transversal and exterior angles on the same side of the transversal are supplementary (sum to 180°).

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

Co-interior angles or Consecutive interior angles are the two angles that are on the same side of the transversal. Co-interior angles are the interior angles and it sums up to 180 degrees. It means that the sum of two interior angles, which are on the same side of transversal is supplementary.

What is the sum of angles on the same side of a transversal?

The interior Angles that lie on the same side of the transversal are known as co – interior angles. The sum of these angles is 180°. In other words, these angles are supplementary. Also, the sum of the co – interior angles will only be 180° if the lines are parallel.