Question

Is this unsolvable? ​

Answer 1

Every problem has a solution .Lets solve it .

Here given that

`\\ \sf\longmapsto x=(y)/(5)`

• Use cross multiplication

`\\ \sf\longmapsto y=5x\dots(1)`

Now

As its a triangle

`\\ \sf\longmapsto 90+x+y=180`

• Put y=5x

`\\ \sf\longmapsto 90+x+5x=180`

`\\ \sf\longmapsto 6x+90=180`

`\\ \sf\longmapsto 6x=180-90`

`\\ \sf\longmapsto 6x=90`

`\\ \sf\longmapsto x=(90)/(6)`

`\\ \sf\longmapsto x=15`

We need not to find y

See the marked angle and x are supplementary angles hence there sum will be 180

`\\ \sf\longmapsto x+15=180`

`\\ \sf\longmapsto x=180-15`

`\\ \sf\longmapsto x=165`

The required angle is 165°.

Answer 2

`sum \: angle \: of \: a \: triangle \: = 180 \\ here \: 90 + x + y = 180 ....(1)\\ but \: given \: that \: x = (y)/(5) \\ y = 5x .....(2)\\ put \: (2) \: in \: (1) \\ = > 90 + x + 5x = 180 \\ 90 + 6x = 180 \\ 6x = 180 - 90 = 90 \\ 6x = 90 \\ x = (90)/(6) = 15 \: degree \\ angle \: for \: a \: stright \: \: line \: = 180 \\ x + unknown = 180 \\ 15 + unknown = 180 \\ unknown = 180 - 15 = 165 \: degree \\ thank \: you`