Question

in a right angle triangle one of the acute angle exceed the other by 20° find the measure of both the acute angle in the right angle triangle

Answer 1

one acute angle is 55 degree and another is 35 degree

Answer 2

Answer:

Step-by-step explanation:

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.