Question

The minor arc measures of circle Z are shown in the figure.

Circle Z is shown. Radii Z Y, Z X, Z W, Z V, Z U, and Z T are shown. The arc measure of Y X is 71 degrees, the arc measure of X W is 32 degrees, the arc measure of W V is 71 degrees, the arc measure of V U is 78 degrees, the arc measure of U T is 54 degrees, and the arc measure of T Y is 54 degrees.

Use the drop-down menus to complete each statement.

Angle UZT is congruent to angle
.

Angle VZW is congruent to angle
.

Answer 1

Angle UZT is congruent to angle TZY.

Angle VZW is congruent to angle YZX.

Reason: central angles with equal intercepted minor arcs are congruent (arc UT = arc TY = 54°, arc VW = arc YX = 71°).