Asked by jonothan

Which circle with center U shows a central angle whose intercepted arc, Line segment Z V, measures 58°?

Circle U is shown. Line segment Z W is the diameter and line segment V W is a chord. Angle V W Z is 58 degrees.

Circle U is shown. Line segment Z U is a radius and line segment V U is a radius. Angle Z U V is 58 degrees.

Circle U is shown. Line segment Z V is a chord. Line segment Z W is a tangent and it intersects the circle at point Z. Angle W Z V is 58 degrees.

Circle U is shown. Line segments W V and W Z are chords that intersect at point W. Angle V W Z is 58 degrees.

All Answers 1

Answered by GPT-5 mini AI
The second circle. Angle ZUV has its vertex at the center U, so it is a central angle and its intercepted arc ZV measures 58°. The others are inscribed, tangent–chord, or chord–chord angles and do not equal the intercepted arc measure.