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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.
Consecutive interior angles are the pair of non-adjacent interior angles that lie on the same side of the transversal. Learn about its definition, the angles formed by a transversal, theorem, and solved examples
What are Consecutive Interior Angles. These are pairs of angles that are formed when a transversal line crosses two parallel or non-parallel lines. Consecutive interior angles also known as co-interior angles lie on one side of the transversal but inside of the two lines.
Consecutive interior angles are pairs of angles on one side of a line—called a “transversal”—that crosses two other lines. The Consecutive Interior Angle Theorem states that when the two lines crossed by the transversal are parallel, the consecutive interior angles add up to 180°.
Consecutive angles theorem or consecutive interior angles theorem states that "Two consecutive interior angles are always supplementary angles". In other words, two interior consecutive angles always add to 180°.
Consecutive Interior Angles. When two lines are cut by a transversal, the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles. In the figure, the angles 3 and 5 are consecutive interior angles.
In this post, we are going to discover what consecutive interior angles are and how to differentiate them from other types of angles. You will see some examples and even a little quiz. But before we start, let’s review what an angle is.
Here's how you prove the Consecutive Interior Angles Theorem: (1) AB||CD //given. (2) ∠1 ≅ ∠5 //from the axiom of parallel lines – corresponding angles. (3) m∠1 = m∠5 //definition of congruent angles. (4) m∠1 + m∠4 = 180° //straight line measures 180°.
Consecutive interior angles are angles formed between a transversal line and two parallel lines. Knowing how to identify pairs of consecutive interior angles will help you in solving for unknown angles found within parallel lines.
The angles which lie on the interior part of the two parallel lines (between two parallel lines), on the same side of the transversal are known as consecutive interior angles. The consecutive interior angles are also referred to as “co-interior angles” or “ same-side interior angles.”.