So, in any parallelogram, we can have four pairs of consecutive angles. In a parallelogram, all the adjacent angles are consecutive angles. What are Consecutive Angles in a Parallelogram? In that case, each of the angles in a consecutive angles pair is 90 degrees. The only case when they can be equal is in a rectangle or when a transversal interacts with two parallel lines at 90 degrees angle. No, consecutive angles are not equal to each other. The angles in the same region (either interior or exterior) on each of the parallel lines form consecutive angles pairs. The pair of consecutive exterior angles for the two sections in the above figure can be named (∠C,∠D) and (∠G,∠H).įAQs on Consecutive Angles What are Consecutive Angles?Ī pair of angles formed on each side of the transversal when it interacts with two parallel lines are known as consecutive angles. These consecutive angles lie on the outside or exterior region of the two parallel lines and on the same side of the transversal. This can be proved by the consecutive interior angles theorem which states that "If a transversal intersects two parallel lines, each pair of interior consecutive angles are supplementary (their sum is 180°)." Consecutive Exterior Angles Note: Interior consecutive angles are supplementary angles, i.e., they add up to 180°. The pair of consecutive interior angles for the two sections in the above figure can be named (∠A,∠B) and (∠E,∠F). They are also known as same side interior angles or co-interior angles. These consecutive angles lie on the interior region of the two parallel lines and on the same side of the transversal. There are two types of consecutive angles according to their position with relation to parallel lines and the transversal.
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