Question

the angle of a triangle are in the ratio 1 : 2 : 6. find the angle​

Answer 1

Answer:

Let the ratio be x.

→x,2x,6x.

We know that:

A+B+C=180°.

A/Q

x+2x+6x=180°.

→9x=180°.

→x=180°/9

→x=20°.

A=x=20°.

B=2x=2×20°=40°.

C=6x=6×20°=120°.

☺☺ Hope it is helpful for you..

Answer 2

As per the data given in the question,

We have to determine the value of angles of triangle.

As per question,

It is given that,

The angle of triangle are in ratio of 1:2:6

As we know that,

Sum of all the angles of triangle is equal to 180 - degree.

So, let the angles are $x,2x\:and\:6x$

So, we can say that,

$x+2x+6x = 180^0\\=>9x = 180^0\\=>x=\frac{180^0}{9}\\=>x = 20^0$

Hence, value of the angles will be,

$x = 20^0\\2x = (2\times 20^0) = 40^0\\6x = (6\times 20^0) = 120^0$