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QUESTION IMAGE

the minor arc measures of circle z are shown in the figure. use the dro…

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.

Explanation:

Step1: Recall vertical - angle property

Vertical angles in a circle are congruent.

Step2: Identify vertical angles for ∠UZT

∠UZT and ∠VZX are vertical angles. So, ∠UZT is congruent to ∠VZX.

Step3: Identify vertical angles for ∠VZW

∠VZW and ∠YZX are vertical angles. So, ∠VZW is congruent to ∠YZX.

Answer:

Angle UZT is congruent to angle VZX.
Angle VZW is congruent to angle YZX.