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; y = 20

Explanation:

8x + y = 100 (alternate exterior angles are congruent)

4x + y = 60 (corresponding angles are congruent)

Subtract the second equation from the first equation.

4x = 40

x = 10

Substitute x = 10 in first equation and solve for y.

8(10) + y = 100

y = 20