In Geometry angles are classified on the basis of measurement

Types of angles as per measurements are:

(1) Acute Angle

(2) Right Angle

(3) Obtuse Angle

(4) Straight Angle

(5) Reflex Angle

(6) Full Rotation

Below diagram gives you an idea of different angle types.

**Different Angle Types **

Given below is the description and properties of different types of Angles in Geometry

**Acute Angle**

Angle with **less than 90 degree of measurement **is called Acute Angle

Some examples of Acute angle are:

You can see in the above diagram, all the angles are below 90 degree:

Angle ROA = 30 degree

Angle ROB = 45 degree

Angle ROC = 75 degree

Hence, all these angles are acute angle.

Some other examples of Acute Angles are given below:

**Right Angle**

Angle forming 90 degree is a right angle

Examples of Right Angle

### **Obtuse Angle**

Angle with greater than 90 degree but less than 180 degree of measurement is Obtuse Angle

Examples of Obtuse Angle

In the above diagram, all the angles are obtuse angle:

Angle ROA = 120 degree

Angle ROB = 135 degree

Angle ROC = 155 degree

All the angles are above 90 degree but less than 180 degree.

Some other examples of obtuse angles are:

**Straight Angle**

Angle forming exactly 180 degree is straight angle

**Reflex Angle**

Angle greater than 180 degree but less than 360 degree is reflex angle

You can see that all angles are between 180 and 360 degree

Angle A = 210 degree

Angle b = 260 degree

Angle C = 315 degree

**Full Rotation**

Angle forming exactly 360 degree is full rotation

**Types of Angle – Questions**

I hope you have understood the properties of different angles.

Let us put your learning to test.

Below are the collection of questions where you have to identify the type of angle and select the right answer.

**(01)** Find the angle type for angle A & B

You can observe that:

Angle A = 330 degree

Angle B = 30 degree

Hence **Angle A is reflex angle** and **Angle B is Acute angle**

**(02)** Find the angle type for C & D given in below picture

Angle C = 300 degree (reflex angle)

Angle D = 60 degree (acute angle)

Hence **angle C is reflex angle** and **angle D is acute angle**

**(03)** Find angle type for angle A & B

You can see that:

Angle A = 90 degree (right angle)

Angle B = 120 degree (Obtuse angle)

Hence **Angle A is right angle** and **Angle B is Obtuse angle**

**(04)** Find the angle type for C & D

You can observe that:

Angle C = 135 degree (Obtuse Angle)

Angle D = 45 Degree (Acute Angle)

Hence angle **C is Obtuse** and **D is Acute angle**

**(05)** Find the angle type for given angle A & B

You can see that:

Angle A = 180 degree (Straight angle)

Angle B = 100 degree (Obtuse Angle)

Hence angle **A is Straight angle** and **angle B is Obtuse angle**