Question

Two angles of a triangle are in the ratio 1:2 and its third angle is 60°. Find the other two angles the triangle

Answer 1

let the ratios be x then 1x and 2x
so,
1x+2x+60=180
3x+60=180
3x=180-60
x=120/3
x=40
angle one=1x=40
angle two=2x= 2×40=80
I hope it is correct

Answer 2

Let us take the two angles as 1x and 2x.

1x + 2x + 60° = 180° (Angle Sum Property)

3x + 60° = 180°

3x = 180° - 60°

3x = 120°

x = 120°/3

x = 40°

Therefore the two angles are:

1x = 1*40 = 40°

2x = 2*40 = 80°

Hope it helps :)