Science Bowl Question

📅 NSB Regional 2016🎓 HS🔄 Round 1#️⃣ Question 11🌟 BONUS📝 Multiple Choice

Following are four pairs of intersecting lines that are related to circles. For three of them, the measures of the angles formed can always be found by taking half of the difference of the angle measures of the intercepted arcs. For which does this calculation generally fail?

W) Two tangents
X) Two secants that intersect outside the circle
Y) A tangent and a secant that intersect outside the circle
Z) The lines containing two intersecting chords
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