What is an example of same side interior angle?

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. Angles 4 and 5, indicated in green, are also same-side interior angles. And line t is the transversal line intersecting lines a and b.

What theorem is 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.

Are 180 interior angles the same side?

FAQs on Same Side Interior Angles They are supplementary. The same side interior angles formed when two parallel lines intersected by a transversal. The same side interior angles can be congruent only when each angle is equal to a 90 degree because then the sum of the same side interior angles is equal to 180 degrees.

What are the four angles formed between the two parallel lines?

When you have two parallel lines cut by a transversal, you get four acute angles and four obtuse angles (except when you get eight right angles). All the acute angles are congruent, all the obtuse angles are congruent, and each acute angle is supplementary to each obtuse angle.

Which angles are equal in parallel lines?

Angles in parallel lines

• When a pair of parallel lines is cut with another line known as an intersecting transversal, it creates pairs of angles with special properties.
• Corresponding angles are equal. The lines make an F shape.
• Alternate angles are equal. The lines make a Z shape which can also be back to front.

Why are same side interior angles always supplementary?

When two parallel lines crossed by a transversal they formed same-side interior angles and their sum is equal to 180 degrees. As the sum of the same side interior angles is 180 degrees therefore the angles are supplementary.

What pair of nonadjacent interior angles are on the opposite side of a transversal?

Alternate angles
Alternate angles are non-adjacent and pair angles that lie on the opposite sides of the transversal.

What do parallel lines give you?

What is the same side interior angle theorem?

Surprisingly, we have just covered the same-side interior angle theorem without even knowing it! 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.

When do you get same side interior angles?

When the lines that the transversal intersects are parallel, you get same-side interior angles that are supplementary, or add up to 180 degrees.

Which is the same side of the same angle?

Therefore, we know that the same-side interior angles 3 and 6 are supplementary, or that they add up to 180 degrees. Therefore, if angle 3 is 70 degrees, it would make its same-side interior angle, 6, 110 degrees! Same-side interior angles are formed when a transversal line intersects two or more lines.

What is the sum 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.