What is the sum of alternate interior angles?
These angles are congruent. Sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°. In the case of non – parallel lines, alternate interior angles don’t have any specific properties.
Are alternate interior angles congruent?
Alternate interior angles are congruent . Consecutive interior angles are supplementary. Consecutive interior angles are interior angles which are on the same side of the transversal line. Alternate interior angles don’t have any specific properties in the case of non – parallel lines.
What is alternate interior angles converse?
Converse of Alternate Interior Angles Theorem The Converse of the Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.
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 .
What do same side interior angles look like?
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.
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 .
How do you find congruent angles in parallel lines?
For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent . If two lines are cut by a transversal and the corresponding angles are congruent , the lines are parallel .
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 .
Do same side interior angles have the same measure?
Same – side interior angles are NOT always congruent. In fact, the only time they are congruent (meaning they have the same measure ) is when the
What is the consecutive interior angles Theorem?
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.
What is meant by co interior angles?
Co – interior angles lie between two lines and on the same side of a transversal. In each diagram the two marked angles are called co – interior angles . If the two lines are parallel, then co – interior angles add to give 180o and so are supplementary.