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

ANSWER

$x=10$

and

$y=20$

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)

$4(10)+y=60$

$y=60-40$

$y=20$