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.

Answer 1

Answer: correct answer is TZY for first one and YZX for second

Explanation:

Just chose those and got it correct :)

Answer 2

Part 1) Option a. TZY

Part 2) Option c. YZX

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:

Part 1) 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.

1. Angle UZT is congruent to angle TZY

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Part 2) 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

2. Angle VZW is congruent to angle YZX