Question

In a right angles triangle ,one of the acute angles exceeds the other by 20° .Find the measure of both the acute angles in the right angles triangle.

Answer 1

Answer:

Step-by-step explanation:

let the acute angle be x

x+x+20+90=180

2x=70

x=35

the acute angles are 35 and 55

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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.