#### What are alternate interior angles

## What are alternate angles?

: one of a pair of angles with different vertices and on opposite sides of a transversal at its intersection with two other lines: a : one of a pair of angles inside the two intersected lines. — called also alternate interior angle .

## Are alternate interior angles congruent?

Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8. All angles that are either exterior angles , interior angles , alternate angles or corresponding angles are all congruent .

## How do you write an alternate interior angle?

Alternate Interior Angles Alternate Interior Angles are two angles that are on the interior of begin{align*}lend{align*} and begin{align*}mend{align*}, but on opposite sides of the transversal. Alternate Interior Angles Theorem: If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

## What are alternate exterior and interior angles?

When a transversal crosses two other lines, it creates an exterior and interior for the parallel lines. Alternate exterior angles are created in the space outside the parallel lines on alternating sides; interior angles are created in the space inside the parallel lines.

## What is the difference between alternate interior angles and consecutive interior angles?

If they are on the same side, then the angles are considered consecutive . If they are on opposite sides, then the angles are considered alternate . Are the angles inside or outside of the two intersected lines? If they are inside the two lines, then they will be classified as interior .

## Why are alternate interior angles always congruent?

Alternate Interior Angle Theorem The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

## What are non congruent alternate interior angles?

Alternate interior angles are pairs of angles on opposite sides of the transversal but inside the two lines. Angle 1 and 2 (outlined in green) are not congruent because there on opposite side of each other.

## Are same side interior angles supplementary?

The same – side interior angles theorem states that same – side interior angles are supplementary when the lines intersected by the transversal line are parallel. 2) Since the lines A and B are parallel, the same – side interior angles theorem states that same – side interior angles will be supplementary .

## What do consecutive interior angles look like?

When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles . In this example, these are Consecutive Interior Angles : d and f.

## What is alternate angle with example?

Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the alternate angles are between the two lines intersected by the transversal, they are called alternate interior angles .

## Do alternate interior angles add up to 180?

Alternate angles form a ‘Z’ shape and are sometimes called ‘Z angles ‘. d and f are interior angles . These add up to 180 degrees (e and c are also interior ). Any two angles that add up to 180 degrees are known as supplementary angles .

## What is interior angles 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 are the properties of alternate angles?

What Are The Properties of Alternate Interior Angles? Alternate Interior angles are congruent. The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is equal to 180°. Alternate interior angles don’t have any specific properties, in case of non-parallel lines.

## Which angles are equal in parallel lines?

are equal in measure. If two parallel lines are cut by a transversal, the alternate interior angles are congruent . If two lines are cut by a transversal and the alternate interior angles are congruent , the lines are parallel .