Question

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°

Answer 1

60°

Reason: The angle WXZ (30°) is formed by a chord and the tangent at X, so it measures half the intercepted arc WUX. Thus arc WUX = 2·30° = 60°.