Question

the acute angle of a right angled triangle are in the ratio 3 ratio 2 find the measure of these angles

Answer 1

Since the triangle is right angled triangle. Hence 1st angle is of 90°

Let the other two angles be 3x and 2x

A.T.Q

Sum of angles of triangle = 180°

3x + 2x + 90° = 180°

5x = 180° - 90° = 90°

x = 90°/5 = 18°

2nd angle = 3x = 3 × 18° = 54°

3rd angle = 2x = 2 × 18° = 36°

Answer 2

As it is a right angled triangle so one angle is 90 degree. By angle sum property the sum of other 2 angles will be 90 degrees as they are in 2 ratio 3 so
2x+3x=90
5x=90
x=90/5 so x=18
1st angle is 36 and other is 54
hope it helps