Question

If the angles of a triangle are in the ratio 1:2:6,determine the three angles

Answer 1

Hi friend ,

Let the three angles be 1x,2x and 6x.

1x +2x +6x = 180° ( angle sum property of ∆)

9x = 180°

x = 180/9

x = 20

1 angle = 1×20 = 20°
2 angle = 2×20 = 40°
3 angle = 6×20 = 120°

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Hope this helped u..

Answer 2

Now, as the angles of the triangle are in the ratio 1:2:6 so let the the three angles be x, 2x, 6x.
Then, as they are the angles of the triangle so there sum will be 180° because of angle sum property.
So, our equation would be,


x+ 2x+ 6x = 180°
9x=180°
x= 180°/9
x= 20°
Now our angles of triangle will be
x= 1×20° = 20°
2x= 2×20°= 40°
6x= 6×20°= 120°

Hope this helps you