Verified answer

Answer:

58.24

Step-by-step explanation:

let's put the question in equations format.

but remember one thing if it is complement x+y=90 and if it is supplement x+y= 180

now

complement of x= 90-x

supplement of y = 180-y

now,

first given condition

3(90-x)= 180-y--- equ(1)

270-3x= 180-y or 3x-y = 90---- equ(2)

second given condition

90-y= 1/6(180-x)

540-6y= 180-x

x-6y=-360---- equ(3)

for solving equations multiply equation 3 by 3 and new equations will be

3x-18y=-1080

and

3x-y=90

substracting these we get 17y= 1170

y= 1170/17= 68.82

put value in equ(2)

x=52.94

as we know in triangle x+y+z = 180

so z will be 58.24.