An cyclic quadrilateral VWXY is inscribed in circle Z. If ∠𝑋=2𝑥−50 and ∠𝑉=3𝑥+20, what is the value of x?
+179 The special properties a cyclic quadrilateral has is that
1. All 4 vertices lie on the edge of some circle.
2. Opposite angles add up to $180°$
Thus, applying #2 here gives us $2x-50 + 3x+20 = 180 \rightarrow \boxed{x = 42}$, which is our answer.
