# Are consecutive angles are supplementary?

## Are consecutive angles are supplementary?

Any pair of consecutive angles are supplementary . All angles are right angles. Opposite angles are congruent. Any pair of consecutive angles are supplementary.

### Has two sets of consecutive angles that are supplementary?

parallelogram
Supplementary angles are two angles adding to 180°. In a parallelogram, any two consecutive angles are supplementary, no matter which pair you pick.

Why consecutive angles are supplementary?

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°).”

What pairs of consecutive angles are supplementary?

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.

## When can pairs of consecutive angles be supplementary?

### What are consecutive 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.

What is a pair of consecutive side?

Consecutive sides are two sides of a polygon which share a common angle. We can see consecutive sides in any figure such as a triangle, rectangle,…

What are consecutive angles in a rectangle?

A rectangle is a parallelogram, so its opposite angles are congruent and its consecutive angles are supplementary.

## What are consecutive angles are supplementary?

### How is a pair of consecutive 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. Also the angles 4 and 6 are consecutive interior angles. …

What shape is consecutive angles are supplementary?

If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.