Question

if one angle of a triangle is 60 degrees and the other two angles are in the ratio 2 ratio 3 then find the angles

Answer 1

Let the other two angles be 2x and 3x

ATP
2x+3x+60=180 {angle sum property}
5x=180-60
5x=120
x=24
2x=48°
3x=72°
hope it helps you

Answer 2

Given :
One of the angle is 60degree
we know that the sum of all the angles of a triangle is = 180 degree ( Angle sum property)
So the sum of other two angles is 120 degree
let one angle be 2x
And other angle be 3x
2x + 3x = 120
5x = 120
x = 120 ÷ 5
x = 24
So one angle is 2x = 2 × 24 = 48 degree
Other angle = 3x = 3 × 24 = 72 degree


Hope you found it helpful.