What are supplementary consecutive interior angles?

What are supplementary consecutive interior angles?

The “consecutive interior angle theorem” states that if a transversal intersects two parallel lines, each pair of consecutive interior angles are supplementary, that is, their sum is 180°.

Are consecutive interior angles congruent or supplementary?

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 two consecutive angles?

What are Consecutive Angles? A pair of angles formed on each side of the transversal when it interacts with two parallel lines are known as consecutive angles. The angles in the same region (either interior or exterior) on each of the parallel lines form consecutive angles pairs.

Do all parallelograms have consecutive angles supplementary?

Similarly, ∠B + ∠C = 180°, ∠C + ∠D = 180° and ∠A + ∠B = 180°. Therefore, the sum of any two adjacent angles of a parallelogram is equal to 180°. Hence, it is proved that any two adjacent or consecutive angles of a parallelogram are supplementary.

Do consecutive angles equal 180?

Note: Interior consecutive angles are supplementary angles, i.e., they add up to 180°. 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°).”

Are consecutive angles in a parallelogram supplementary?

In a parallelogram, consecutive angles are supplementary (i.e. add to ) and opposite angles are congruent (i.e. equal).

What is a 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.

Are Consecutive angles supplementary in a rhombus?

The diagonals bisect the angles of the rhombus. Any pair of consecutive angles are supplementary . All angles are right angles. Opposite angles are congruent.

How do you find a pair of consecutive angles?

As we discussed above, the sum of two consecutive interior angles is 180 degrees. So, if any one of the angles is given, we can easily find the other consecutive angle by subtracting the given angle from 180.