Question

The angles of triangle are in ration 1:2:3. Find the angles [Hint: sum of a triangle=180°]

Answer 1

Answer:

Let's denote the smallest angle as X degrees. Then the other two angles are 2X and 3X.

X + 2X + 3X = 180

6X = 180

X = 30

It is a 30, 60, 90 triangle.

Answer 2

Answer:

Angles are 30°,60° and 90°

Step-by-step explanation:

Given Problem:

The angles of triangle are in ration 1:2:3. Find the angles.

Solution:

To Find:

The Angles.

--------------------------

Method:

Let the first angle will be x and second will be 2x and third will be 3x:

Now,

⇒x + 2x + 3x = 180° (Sum of all property of all angles of triangles)

So,

We know,

6x = 180°

And,

x = $\dfrac{180}{6}$

Hence,

x = 30

So,

x = 30°

2x = 60°

3x = 90°

Therefore,

The three angles are  30°, 60° and  90°