Question

Find the angle which is 6 times its complement​

Answer 1

Using subUsing substitution for Y, the top equation becomes X +6z= 180. Using elimination with X +6z= 180 and subtracting X+z= 90 result is 5z=90 and Z= 18. So complimentary angle is 18°

Answer 2

`\qquad\qquad\huge\underline{{\sf Answer}}`

`\textsf{Let the angle be x, then it's complement }`
`\textsf{will be }` ~

`\qquad \sf  \dashrightarrow \: (x)/(6)`

`\textsf{And as we know, sum of complimentary angles }`
`\textsf{measure 90°}`

`\qquad \sf  \dashrightarrow \: x + (x)/(6) = 90`

`\qquad \sf  \dashrightarrow \: (6x + x)/(6) = 90`

`\qquad \sf  \dashrightarrow \: 7x = 90 * 6`

`\qquad \sf  \dashrightarrow \: x = (540)/(7)`

`\textsf{So, the required angle is }`
`{\sf{{(540\degree)/(7)}}}`