Question

The acute angles of a right angled triangle are in the ratio of 2:3.Find the angles of the triangle

Answer 1

let the angle =x
2x+3x+9 0 degrees =180 degrees
5x=180-90 degrees
5x =90
x=90/5=18 degrees
1st angle =2*18=36 degrees
2nd angle=3*18=54 degrees

Answer 2

Since it's a right angled triangle then one of the angles must be 90° (ninety degrees). The sum of the angles in a triangle is 180° (one hundred and eighty degrees) and the sum of the remaining (acute) angles in this triangle is 180° - 90° = 90°. 
Let the first one be equal to 2x and the second one be 3x. The sum of 2x and 3x is 90°. 
2x + 3x = 90° 
(2 + 3)x = 90° 
5x = 90° 
x = 90°/5 
x = 18° 

The first angle is 90°. 
The second one is 2x or 2 x 18° ==> 36°. 
The third one is 3x or 3 x 18° ==> 54°.