Question

The ratio of two acute angles of a right triangle is 7: 11. Find the values ​​of the angles.​

Answer 1

answer : acute angles means angle between 0 and 90°

let 7 = 7x

11= 11x

triangle is right angled means one angle is 90° and other 2 angles are acute

•°• ( therefore) 7x+11x =90°

=> 18 x = 90°

=> x=90/18

=> 5

so, 7x = 7×5=35°

11x=11×5 =55°

hence two acute angles are 35° an5°

proof = 35° +55°+90°=180°