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

answer choices
1) a. tzy, b. xzw, c. vzw
2) a. uzv, b. tzy, c. yzx,

This question is based on the congruency of angles. Therefore, TZY=UZT and YZX=VZW  both are are congruent.

Given:

UZT = 54°

TZY = 54°

YZX = 71°

XZW = 32°

WZV = 71°

VZU = 78°

1) Angle UZT is congruent to angle ____

From given figure, it is observe that,

UZT=54°

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,

VZW= 71°

YZX  = 71°

Therefore, both angles are congruent.

Thus, the angle YZX is congruent to angle VZW.

For more details, please prefer this link:

link

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

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d