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Answer :
To answer the question, let's break it down step by step.
1. Central Angle Definition: A central angle of a circle is an angle whose vertex is at the center of the circle and whose sides are radii of the circle.
2. Angle [tex]$\square$[/tex] is not a Central Angle: If an angle is not a central angle of circle [tex]$Z$[/tex], its vertex is not at the center of circle [tex]$Z$[/tex].
3. Degree Measure of an Arc: The degree measure of an arc created by a central angle is equal to the degree measure of that central angle. So, if a central angle measures, for example, 60 degrees, its intercepted arc will also measure 60 degrees.
4. Measure of TU: Since this seems to be left blank, it is likely the specific measure of an arc on circle [tex]$Z$[/tex]. Assuming all the above information, if arc TU were intercepted by a central angle measuring, say, 40 degrees, then the arc TU would also measure 40 degrees.
Putting all this together, we understand that:
- A central angle directly gives us the measure of the arc it intercepts.
- Since angle [tex]$\square$[/tex] is not a central angle, it doesn't directly relate to a specific arc on circle [tex]$Z$[/tex] unless it's specified what role it plays (e.g., inscribed angle, external angle, etc.).
- Without more information or specific values given, we can't fill in [tex]$\square$[/tex] or measure TU with specific numbers, but theoretically, the measure of an arc is directly derived from its central angle.
1. Central Angle Definition: A central angle of a circle is an angle whose vertex is at the center of the circle and whose sides are radii of the circle.
2. Angle [tex]$\square$[/tex] is not a Central Angle: If an angle is not a central angle of circle [tex]$Z$[/tex], its vertex is not at the center of circle [tex]$Z$[/tex].
3. Degree Measure of an Arc: The degree measure of an arc created by a central angle is equal to the degree measure of that central angle. So, if a central angle measures, for example, 60 degrees, its intercepted arc will also measure 60 degrees.
4. Measure of TU: Since this seems to be left blank, it is likely the specific measure of an arc on circle [tex]$Z$[/tex]. Assuming all the above information, if arc TU were intercepted by a central angle measuring, say, 40 degrees, then the arc TU would also measure 40 degrees.
Putting all this together, we understand that:
- A central angle directly gives us the measure of the arc it intercepts.
- Since angle [tex]$\square$[/tex] is not a central angle, it doesn't directly relate to a specific arc on circle [tex]$Z$[/tex] unless it's specified what role it plays (e.g., inscribed angle, external angle, etc.).
- Without more information or specific values given, we can't fill in [tex]$\square$[/tex] or measure TU with specific numbers, but theoretically, the measure of an arc is directly derived from its central angle.
Thank you for reading the article A central angle such as angle tex square tex of circle tex Z tex is an angle whose vertex is tex Z tex and whose. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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