Question

Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin strings. Find x and y in the diagram.

Answer 1

`x=10`

and

`y=20`

Step-by-step explanation

Since corresponding angles are equal,

`4x+y=60---(1)`

Alternate angles are also equal, therefore,

`8x+y=100---(2)`

Equation (2) minus equation (1) gives,

`\Rightarrow 4x=40`

`\Rightarrow x=10`

We put
`x=10` in to equation (1)

`4(10)+y=60`

`y=60-40`

`y=20`