## What is Angle Sum of a Triangle?

#### 1. Finding the sum of angles of a triangle

**METHOD 1: Using a protractor**

Make a triangle such as the one below. Then, using a protractor measure each of its angles.

In the figure above,

∠a = 70°

∠b = 45°

∠c = 65°

Now, add all these angles.

∠a + ∠b + ∠c = 70° + 45° + 65° = 180°

We notice that the angle sum of the above triangle is 180°.

Try making a couple of triangles, measure their angles and record their angle sums.

You will observe that in every case,

In the figure above,

∠a = 70°

∠b = 45°

∠c = 65°

Now, add all these angles.

∠a + ∠b + ∠c = 70° + 45° + 65° = 180°

We notice that the angle sum of the above triangle is 180°.

Try making a couple of triangles, measure their angles and record their angle sums.

You will observe that in every case,

**the angle sum of a triangle is 180°**.**METHOD 2: Using the hands-on method**

Make a triangle as below. Then cut it into 3 pieces and arrange the pieces next to each other.

Upon putting the pieces together you will notice that the 3 corners join together to form the sum of angles along a straight line which is 180°.

Upon putting the pieces together you will notice that the 3 corners join together to form the sum of angles along a straight line which is 180°.

**Conclusion:**

The angle sum or sum of angles of a triangle is 180°.