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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,

The minor arc measures of circle Z are shown in the figure Use the dropdown menus to complete each statement 1 Angle UZT is congruent to angle 2 Angle VZW is co class=

Respuesta :

calculista

Answer:

Part 1) Option a. TZY

Part 2) Option c. YZX

Step-by-step explanation:

Part 1) Angle UZT is congruent to angle

we know that

Observing the graph

<UZT=54°

<TZY=54°

therefore

<TZY=<UZT -----> both angles are congruent

Part 2) Angle VZW is congruent to angle

we know that

Observing the graph

<VZW=71°

<YZX=71°

therefore

<YZX=<VZW -----> both angles are congruent

shristiparmar1221

This question is based on the congruency of angles. Therefore, [tex]\angle[/tex]TZY=[tex]\angle[/tex]UZT and [tex]\angle[/tex]YZX=[tex]\angle[/tex]VZW  both are are congruent.

Given:

[tex]\angle[/tex]UZT = 54°

[tex]\angle[/tex]TZY = 54°

[tex]\angle[/tex]YZX = 71°

[tex]\angle[/tex]XZW = 32°

[tex]\angle[/tex]WZV = 71°

[tex]\angle[/tex]VZU = 78°

1) Angle UZT is congruent to angle ____

 

From given figure, it is observe that,

UZT=54°

[tex]\angle[/tex]TZY=54°

Therefore,

TZY=UZT both angles are congruent.

Thus, the angle UZT is congruent to angle TZY.

2) Angle VZW is congruent to angle____

From given figure, it is observe that,

[tex]\angle[/tex]VZW= 71°

[tex]\angle[/tex]YZX  = 71°

Therefore, both angles are congruent.

Thus, the angle YZX is congruent to angle VZW.

For more details, please prefer this link:

https://brainly.com/question/25063346

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