Answer:
<u>Part 1)</u> Option a. TZY
<u>Part 2)</u> Option c. YZX
Step-by-step explanation:
The question is as following and see the attached figure
The minor arc measures of circle Z are shown in the figure.
Use the drop-down menus to complete each statement.
1) Angle UZT is congruent to angle _____
2) Angle VZW is congruent to angle____
Answer choices
1) a. TZY, b. XZW, c. VZW
2) a. UZV, b. TZY, c. YZX
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Solution:
<u>Part 1)</u> Angle UZT is congruent to angle______
From the attached figure, we can deduce that:
∠UZT = 54°
∠TZY = 54°
So,
∠TZY = ∠UZT ⇒ both angles are congruent.
<u>1. Angle UZT is congruent to angle TZY</u>
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<u>Part 2)</u> Angle VZW is congruent to angle_____
From the attached figure, we can deduce that:
∠VZW = 71°
∠YZX = 71°
So,
∠YZX = ∠VZW ⇒ both angles are congruent
<u>2. Angle VZW is congruent to angle YZX </u>