Study the diagram of circle W.

Points A, V, B, and C lie on circle W. The chords AV¯¯¯¯¯¯¯¯ and BC¯¯¯¯¯¯¯¯ are congruent.


If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?

x≈6

x≈8

x≈4.6

x≈2.9