What is alternate interior angle?
Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. Examples. If the alternate angles are between the two lines intersected by the transversal, they are called alternate interior angles.
What are alternate interior angles alternate exterior angles and corresponding angles?
When the two lines intersected by the transversal are parallel, corresponding angles are congruent, alternate interior angles are congruent, alternate exterior angles are congruent, and consecutive interior angles become supplementary, which means they have a sum of 180 degrees.
What are alternate side exterior angles?
Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
How much do alternate interior angles equal?
Properties. These angles are congruent. The 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.
What is alternate angle with example?
So, alternate angles are those angles that have different vertices and lie on the alternate sides of the transversal. The pairs of alternate angles in the above figure are: ∠3 and ∠5. ∠4 and ∠6.
When do you have alternate interior and exterior angles?
They are INTERIOR, and also on different/alternative sides of the red transversal line. When a Transversal line crosses through 2 parallel straight lines, the interior alternate angles created are equal alternate interior angles. Angles 4 and 6 together in this situation are known as “consecutive interior angles”.
What is an alternate exterior?
Alternate Exterior Angles. When two lines are crossed by another line (called the Transversal): The pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.
What is the converse of alternate interior angles?
The converse of alternate interior angle theorem states that “If the alternate interior angles produced by the transversal line on two coplanar are congruent, then the two lines are parallel to each other”.
Which is an example of the alternate exterior angles theorem?
The Alternate Exterior Angles Theorem states that if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Here we have a new pair of lines, parallel and crossed by a transversal. We are not bothering to identify our parallel lines and transversal! We are jumping ahead to numbered angles.