Question

Please help solve for y!

Answer 1

As both angles are supplementary

`\\ \Large\sf\longmapsto 3x+(2x+3y)=180°`

`\\ \Large\sf\longmapsto 3x+2x+3y=180`

`\\ \Large\sf\longmapsto 5x+3y=180`

`\\ \Large\sf\longmapsto 3y=180-5x`

`\\ \Large\sf\longmapsto y=(180-5x)/(3)`

And

`\\ \Large\sf\longmapsto 3x=90`

`\\ \Large\sf\longmapsto x=(90)/(3)`

`\\ \Large\sf\longmapsto x=30`

Now

• Putting value

`\\ \Large\sf\longmapsto y=(180-5x)/(3)`

`\\ \Large\sf\longmapsto y=(180-5(30))/(3)`

`\\ \Large\sf\longmapsto y=(180-150)/(3)`

`\\ \Large\sf\longmapsto y=(30)/(3)`

`\\ \Large\sf\longmapsto y=10`