Question

The interior angles of a triangle are in the ratio of 1 : 2 : 3. What is the largest angle?
- 120
- 90
- 60
- 30

Answer 1

Answer:

1st angle= 1x

2nd angle= 2x

3rd angle= 3x

Sum of angles of a triangle= 180°

Therefore,

x+2x+3x=180

6x=180

x=30°

1st angle= x= 30°

2nd angle= 2x= 60°

3rd angle= 3x= 90°

Answer- The largest angle is 90°.

Answer 2

Given:-

• The interior angles of a triangle are in the ratio of 1 : 2 : 3.

To Find:-

• The Largest Angle.

Solution:-

Let the interior angles are x , 2x and 3x respectively.

So,

According to the Question

$x + 2x + 3x = 180\degree$

$\underline{\overline{\mid{\bold{\blue{\mathcal{By \:Angle\: sum\: Property \:Of\: Triangles.}}\mid}}}}$

Now,

$= > 6x = 180\degree$

$= > x = \frac{180 ° }{6}$

$= > x = 30°$

So,

Interior angles are

$= > x = 30°$

$= > 2x = 2 \times 30° = 60°$

$= > 3x = 3 \times 30° = 90°$

Then, The Interior angles of the Triangles are 30°,60° and 90° respectively.

∴The Largest Angle is 90°