Question

If the angles of a triangle in the ratio 1:2:6,determines the three angles.

Answer 1

Let the angles of the triangle be 1 x , 2 x and 6x respectively.

We know that the sum of all the angles in a triangle is 180°

1 x + 2x + 6x = 180°

9x = 180

x = 180° / 9

x = 20

SO the angles are :
x = 20°
2x = 2 ×20 = 40°

6x = 6 ×20 = 120°

20° , 40° , 120° are the angles

Answer 2

Let the angles of a triangle be 1x, 2x and 6x.

(∠1 = 1x, ∠2 = 2x and ∠3 = 6x)

We know that,

∠1 + ∠2 + ∠3 = 180°

1x + 2x + 6x = 180°

9x = 180°

x = 180°/9

x = 20°

∠1 = 1x = 1 * 20 = 20°

∠2 = 2x = 2 * 20 = 40°

∠3 = 6x = 6 * 20 = 120°

Ans.) 20°, 40° and 120° are the angles of a triangle.