Question

24. The angles of a triangle are in the ratio 1: 2: 6. Find the angles.​

Answer 1

Answer:

20°, 40°,120°

Step-by-step explanation:

x+2x+6x=280°

9x=180°

x=180/9

x=20°

2x=40°

6x=120°

Answer 2

In context of questions asked,

We have to determine the value of the angles of a triangle.

As per questions,

The angles of a triangle are in the ratio 1: 2: 6.

As we know that,

Sum of the interior angles or triangle is 180 degree.

So, let the angles be x, 2x and 6x.

So, from above,

We can say that,

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

Hence, value of angles will be 20, 40, 120 degree respectively.