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The minor arc measures of circle \( Z \) are shown in the figure.

Circle \( Z \) is shown. Radii \( ZY \), \( ZX \), \( ZW \), \( ZV \), \( ZU \), and \( ZT \) are shown. The arc measure of \( YX \) is 71 degrees, the arc measure of \( XW \) is 32 degrees, the arc measure of \( WV \) is 71 degrees, the arc measure of \( VU \) is 78 degrees, the arc measure of \( UT \) is 54 degrees, and the arc measure of \( TY \) is 54 degrees.

Use the drop-down menus to complete each statement.

Angle \( \angle UZT \) is congruent to angle ______.

Angle \( \angle VZW \) is congruent to angle ______.

Answer :

The completed statement are:

  • Angle UZT is congruent to angle TZY.
  • Angle VZW is congruent to angle YZX.

What is the angle about?

Part A:

Angle UZT is congruent to angle TZY.

Using the image attached figure, we can see that:

∠UZT = 54°

∠TZY = 54°

Hence one can say that ∠TZY = ∠UZT are both congruent angles.

Part B:

Angle VZW is congruent to angle YZX.

Using the image attached attached, we can see that:

∠VZW = 71°

∠YZX = 71°

Hence, ∠YZX = ∠VZW are both regarded as congruent angles .

Therefore, The completed statement are:

  • Angle UZT is congruent to angle TZY.
  • Angle VZW is congruent to angle YZX.

Learn more about Angles from

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Rewritten by : Jeany

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