+0

# help

0
86
1

An cyclic quadrilateral VWXY is inscribed in circle Z. If ∠𝑋=2𝑥−50 and ∠𝑉=3𝑥+20, what is the value of x?

Jun 3, 2021
edited by Guest  Jun 3, 2021

#1
+181
+2

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.

Jun 3, 2021