Question

the angle of a triangle are in the ratio 1 is to 2 is to 3 find the angle

Answer 1

Ratio of angles = 1:2:3

In the form of x = 1x:2x:3x

Now , 1x+2x+3x = 180°

6x = 180°
x = 180/6
x = 30°

Now , Angles =
X = 30°
2x = 2×30°
= 60°
3x = 3×30°
=90°

Answer 2

Ratio of the angles=1:2:3.

Let the common ratio be 'x'.

Now the angles are: x°, 2x° and 3x° respectively.

We know that,

The sum of the angles of a triangle=180°.

So,

x°+2x°+3x°=180°.
6x°=180°.
$x = \frac{180 \degree}{6}$
x=30°.

Therefore, the angles of the triangle are:

x=30°,
2x = 2*30 = 60° and
3x = 3*30 = 90°