Question

the acute angles of a right angled triangle are in the ratio of 3:7 . find the angles

Answer 1

The angles are in the ratio 3:7.
In a right angled triangle the sum of acute angles is 90.
3x+7x=90
x=9.
Therefore the angles are
3*9=27
7*9=63.
Obviously the other angle is 90.

Answer 2

By the Angle sum property, Sum of angles in a triangle equals 180°

In right triangle, One angle = 90

so Angle A + B +90=180

Now A+B =90.

Given that acute angles are in the ratio 3:7

let them be 3x , 7x

So, 3x + 7x =90

10 x =90

$x = \frac{90}{10}$
$x = 9$

Therefore, The acute angles are 27°,63°