Question

In a right angled triangle 2 acute angles are in the ratio 3:2 Find the acute angles

Answer 1

Measure of two acute angles =90°

let the angles be ,
2x,3x

2x+3x = 90°
5x = 90°
x = 90/5
x= 18°

So the angles are,

18*2= 36°
18*3= 54°

Answer 2

Total angles = 180
ratio=3:2
let one angle = x
                      =3x=angle A
the other       =x
                     =2x=angleB
the other angle = 90=angle C
so,
angle A+angle B+angleC=180(total angle =180)
3x+2x+90=180
5x=180-90
x=90/5
x=18
angle A=3x=3*18=54
angle B=2x=2*18=36.