Question

in a right angled triangle one of the acute angle exceeds the other by 20°.Form two frame equation in x &y as variables.

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.

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