Question

In a right angled triangle, one of acute angle exceeds the other by 20 degree. find the measure of both the acute angles in the right angled triangle

Answer 1

let one of acute angle be = x.

let other acute angle be = x - 20

we know that ,

the sum of the angles in a triangle =180

90 + x + ( x - 20 ) =180

90 + 2x -20 = 180

70 + 2x = 180

2x = 180 - 70

2x = 110

x = 110 /2

x = 55.

∴ The one of acute angle  = x

                                           = 55.

∴ the other acute angle = x - 20

                                       = 55 - 20  

                                      =  35.

Answer 2

Answer:

The right answer is 35° , 50° , and 90°