Question

in a right angle triangle, the acute angle are in the ratio of 4 is to 5, find the acute angles of the triangle

Answer 1

angles are 40 and 50

Answer 2

Let the ratio be 4x and 5x ;

As we know In right angle triangle 1 angle is 90°.

And the sum of all angles of triangle be 180°.

⇒ 4x+5x+90°=180°

⇒9x=180°-90°

⇒9x=90°

⇒x=90°/9

⇒x=10°

Then angle be;

4x=4*10=40°

and 5x=5*10=50°.