Question

the minor arc measures of circle z are shown in the figure. use the drop - down menus to complete each statement. angle uzt is congruent to angle. angle vzw is congruent to angle. uzv tzy yzx

Explanation:

Step1: Recall congruent - angle property in a circle

In a circle, central angles are congruent if their intercepted arcs have the same measure.

Step2: Find angle congruent to ∠UZT

The measure of arc UT is 54°. The measure of arc YT is also 54°. So, ∠UZT is congruent to ∠TZY since they intercept arcs of equal measure.

Step3: Find angle congruent to ∠VZW

The measure of arc VW is 32°. The measure of arc UX is 32°. So, ∠VZW is congruent to ∠UZV since they intercept arcs of equal measure.

Answer:

Angle UZT is congruent to angle TZY.
Angle VZW is congruent to angle UZV.