Hi,
1. In the diagram angle U=30 degrees, arc XY is 170 degrees, and arc VW is 110 degrees. Find arc WY in degrees.
https://latex.artofproblemsolving.com/a/c/a/aca12b1fb2644f794294af3b15cfeab348364d6f.png
Sorry, I couldn't get the upload to work.
1. In the diagram angle U=30 degrees, arc XY is 170 degrees, and arc VW is 110 degrees. Find arc WY in degrees.
arc VX + arc WY = 80º ( arc VX and arc WY are called intercepted arcs )
Important: When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
(arc WY - arc VX) / 2 = 30º
arc WY = 70º