Question

The angles meeting at a point are x°, 2x°, 3x°, 4x° and 5x°. What is the size of the largest of these angles?

Answer 1

x°+2x°+3x°+4x°+5x° = 360°

15x = 360

x = 360/15

 = 24

Largest angle = 5×24 = 120°

Answer 2

Question:

The angles meeting at a point are x°, 2x°, 3x°, 4x° and 5x°. What is the size of the largest of these angles?

To Find:

• Size of the largest of these angle.

Solution:

First we have to find the value of x:

Angle around a point is 360°

$→ x + 2x° + 3x° + 4x° + 5x° = 360°$

$→ 15x° = 360°$

$→ x = \frac{360}{15}$

$\boxed{→ x = 24}$

Now,

We have to find the largest angle:

x = 24

So,

1) x° = 24°

2) 2x° = 2 × 24° = 48°

3) 3x°= 3 × 24° = 72°

4) 4x°= 4 × 24° = 96°

5) 5x°= 5 × 24° = 120°

So, the value of each angles:

1. x° = 24°
2. 2x° = 48°
3. 3x° = 72°
4. 4x° = 96°
5. 5x° = 120°

The largest angle:

● 5x° = 120°