Question

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V and secant Y W intersects the circle at point X.
In the diagram of circle C, m∠VWX is 43°. What is mArc V X?

39°
41°
78°
82°

Answer 1

I’m missing the diagram and the exact ordering of the points on the circle, so I can’t be sure which arcs are being subtracted in the secant-secant formula. Could you either

- upload the diagram image, or
- confirm the order of the four intersection points around the circle (for example: going around the circle they appear as V, X, Y, U), and whether V and X are the points closer to W (i.e. the secant meets the circle first at V and X then again at U and Y)?

With that I’ll compute m(arc VX) and show the work.