Question

in a right angled triangle one of the acute angle exceeds the other by 20 degree find the measure of both the acute angles in the right angled triangle answer is 55 degree and 35 degree but explaination

Answer 1

let one acute angle be X
then other acute angle Will be X+20
sum of all angle = 180
then,
X + X+20 + 90 = 180
2X + 20 +90 = 180
2X + 110 =180
2X =180-110
2X=70
X=35
X+20= 55

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.