Question

In a right-angle triangle, two acute angles are in ratio 2:3.what are their measures?

Answer 1

2x+3x=90
5x=90
x=18
one is 36 and other one is 54.

Answer 2

let angle be x.
therefore angle a 2x
angle b 3x
angle c x
in tri. abc by A.S.P
a+b+c=180
2x+3x+x=180
6x=180x
x=180/6
x=30

therefore angle a =2(30)=60
b=3(30)=90
c=30
hence proof