# What Are Adjacent Angles? Explanation and Examples

### What Are Adjacent Angles?

Adjacent Angles are those angles that share a * common side* and a

*and they*

**common point (vertex)***. Let’s point the conditions.*

**shouldn’t overlap****Adjacent Angles are those:**

- Have Common Vertex (Common Point)
- Have Common Side (Also known as Common Arm)
- Must not Overlap (They should not have a common interior point)

### An Example of Adjacent Angles:

In the Example above, angle **∠DBC** is adjacent to the angle **∠CBA. **Therefore, **∠DBC **and **∠CBA **are Adjacent Angles.

**Why ∠DBC and ∠CBA are Adjacent Angles**

**∠DBC**and**∠CBA**share the common vertex**B**(Common Point**B**)**∠DBC**and**∠CBA**have a common side**BC**- They do not overlap (They do not have a common interior point). (See the question below that has the same image to learn more about this point)

#### The below image *doesn’t* make **Adjacent Angles**:

* Explanation:* The angles

**∠FGH**and

**∠GHI**are not adjacent angles because

*(a common point shared by both the angles).*

**they do not have Vertex**#### Here is another example where Angles Do not make Adjacent Angles:

**Explanation: ****∠JNK **and **∠LNM **are not adjacent angles because * they do not have a common side*. However,

**∠JNK**and

**∠KNL**are adjacent angles because they have the common side (

**NK**) and Vertex (

**N**). In the same way,

**∠KNL**and

**∠LNM**are also adjacent angles because they share the common side (

**NL**) and Vertex (

**N**).

### Question: Why the angles **∠DBC and ∠DBA are not adjacent angles?**

### Answer:

**∠DBC **and** ∠DBA **share a common interior point (**C**). In another word, **C **is the interior point in the middle of the **∠DBA **angle. As we mentioned at the start the angles should not have a common interior point to be adjacent angles.

If it is still confused to you, take it this way: The other 2 sides must lie on the opposite side of the common side. If we take **CB **as the common side, **DB **and **AB **are on the opposite side of **CB. **So **∠DBC **and** ∠CBA **do make the adjacent angles, but **∠DBC **and** ∠DBA **do not make adjacent angles.