In the adjoining figure, find the values of x and y, Given that AOB is a straight line.

Explanation

Since AB is a straight line and the sum of the angles at a point on the same side of straight lines is `180^(@)`
`:. 5x+10^(@)+65^(@)=180^(@)`
`rArr5x=180^(@)-75^(@)`
`rArr5x=105^(@) rArrx=21^(@)`

For the same reason
`2x+90^(@)+3y=180^(@)`
`rArr 2xx31^(@)+90^(@)+3y=180^(@)" "(LPA)`
`rArr132^(@)+3y=180^(@) rArr3y=48^(@)`
i.e.,` y=(48^(@))/(3)=16^(@)`
`:. x=21^(@) and y= 16^(@)`