# Consecutive angles

To talk about **consecutive angles it** is important to also first talk about the definition of angle. An **angle** is the portion of the **plane** that is between two **rays** which have a **common origin** known as the **vertex** . It can also be said that the angle is the opening formed by two sides that start from that common point, or are centered on the rotation that the **plane** gives with respect to its **origin** . When we talk about **consecutive angles** we refer to an angle **relationship** that implies the **parameters **conformants, these parameters are the **coplanar ****lines** or **rays** and the **vertex** where these lines meet.

## What are consecutive angles?

Two angles can be **consecutive** when one **angle** is **successive to** the other, which means that the two angles share the same **vertex** and one of their **rays** . When a ray forms **two angles** on one **side** and the **other** , we are faced with two consecutive angles.

- Definition
- features
- Consecutive interior angles
- How they differ from adjacent angles
- Examples of consecutive angles

## Definition

We say that two angles that are within the same **plane** are **consecutive** when they have only one **side in common** . According to the extension, given several angles in a certain **order** , they will then be **consecutive** when each of them is consecutive with the next.

The word consecutive when we refer to angles means that the angles share at the same time the same **vertex** as well as one of the **sides** , which can be the **line** or **ray** , in other words they are one next to the other delimited by one of the **lines** that make them up and, if there are more than two **angles** , they can continue to be **consecutive** if the one that follows shares the side of the last one always with the **same vertex** .

## features

The main characteristics of the consecutive angles are the following:

- Consecutive angles are those that have or share the same vertex.
- They have only one side in common.
- Several angles can become consecutive when each of them shares a side with the angle that follows it.
- The sum that results from the consecutive angles is equivalent to the angle comprised by the infrequent sides of the angles.
- For two angles to be added they must necessarily be consecutive.
- These angles are in the same way placed side by side.

## Consecutive interior angles

Consecutive angles are also known with the name of **adjacent angles** , and the angles are having a **side** in **common** and the **same vertex** . These angles then share a side and a vertex and are located side by side. When the angles are ordered in a certain way, they are said to be consecutive if each **angle** is **successive** with the other. When the angles meet consecutively and are interior, it is when two lines are crossed by another **transversal** call but within both lines.

The **sum** of the consecutive angles will then be equal to the angle that has been formed by what are the **uncommon** sides of the angles. When two lines are cut by means of a **transversal** , the pair of angles on one side of the transversal and within the two lines are called the **consecutive interior angles** .

The Consecutive **Interior Angles Theorem** tells us that if two **parallel lines** are cut by a **transversal** , then the pairs of consecutive interior angles formed are supplementary.

## How they differ from adjacent angles

Consecutive angles have a vertex and a side in common, and these angles are followed one after the other. The adjacent angles are the angles that are found consecutively and that have non-common sides within the same line; are any pair of angles that are in a row but when their degrees are added, a total of 180 ° is obtained.

## Examples of consecutive angles

Some examples of consecutive angles are as follows:

**Right angles**:**Right**angles measure 90º and are the result of the perpendicular crossing of two rays.**Obtuse angles**: the**obtuse**angles are those that measure more than 90º.**Convex angles**:**Convex**angles are those that measure less than 180º.**Concave angles**:**Concave**angles are those that measure more than 180º and less than 360º.- Supplementary angles: Supplementary angles are those that adding the two together give a straight angle.
**Adjacent angles**: they have a side and a vertex in common and the other on the same line.**Central angles in a circle**: one whose vertex is located in the center of the circle.