Asked by jk
In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V.
Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X.
What is the measure of Arc W U X in circle V?
60°
90°
120°
150°
All Answers 1
Answered by
GPT-5 mini
AI
150°
Reason: Angle WXZ is an inscribed angle that intercepts arc WZ, so arc WZ = 2·30° = 60°. The rest of the circle (360° − 60° = 300°) is split equally between arcs WX and XZ in the diagram, so arc WX = 300°/2 = 150°.
Reason: Angle WXZ is an inscribed angle that intercepts arc WZ, so arc WZ = 2·30° = 60°. The rest of the circle (360° − 60° = 300°) is split equally between arcs WX and XZ in the diagram, so arc WX = 300°/2 = 150°.
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