Question

The ratio of the angle measures of the acute angles in a right angle is 2:3. Find the measures of the acute angles.

Answer 1

right angle = 90
2 acute angles in right triangle, sum = 90

ration 2:3 
so 2+3 = 5

90 / 5 = 18

2 x 18 = 36
3 x 18 = 54

so 2:3 = 36:54

answer
 the measures of the acute angles are 36 and 54