## Identifying Angles in a Figure

#### 1. What is an angle?

An angle is the amount of turning between two lines meeting at a point.

#### 2. How are angles formed?

When 2 lines meet at a point, they form an angle at that point.

#### 3. How do we denote angles?

We denote angle using the symbol ∠.

#### 1. Ali bends a straw as below. Mark the angle formed by it.

The bent straw (presented by the blue lines) forms an angle as marked by the red turning.

#### 2. Following are examples of angles on objects we see everyday.

On each object, the angles are marked by the yellow turning.

#### 3. Here are some pairs of pencils placed in pairs.

Which of these pairs form angles?

Pairs A, C and D form angles.

#### 4. Study the angles below.

#### a. Which angle is the smallest?

#### b. Which angle is the greatest?

#### c. Arrange the angles in order, beginning with the smallest.

a. The lines forming Angle Y have the smallest turning.

So, ∠Y is the smallest angle.

So, ∠Y is the smallest angle.

b. The lines forming Angle X have the greatest turning.

So, ∠X is the greatest angle.

So, ∠X is the greatest angle.

c. Beginning with the smallest, the angles can be arranged as below:

∠Y, ∠Z, ∠X

∠Y, ∠Z, ∠X

#### 5. Rayan makes some shapes as shown below.

How many sides and angles does each shape have?

Shape

Shape

Shape

Shape

**A**has 3 sides and 3 angles.Shape

**B**has 4 sides and 4 angles.Shape

**C**has 5 sides and 5 angles.Shape

**D**has 6 sides and 6 angles.