EROR ANALYSIS Describe the error in finding the angle measure. X Q 37°R m/SUT= mST = 46° So, m/SUT = 46°. 546 ZSUT is not a central angle. ST needs to be subtracted from 180°. m/SUT is equal to the opposite intercepted arc. ST and QR are not congruent, so m/SUT is undefined. d the correct angle measure. SUT = T
EROR ANALYSIS Describe the error in finding the angle measure. X Q 37°R m/SUT= mST = 46° So, m/SUT = 46°. 546 ZSUT is not a central angle. ST needs to be subtracted from 180°. m/SUT is equal to the opposite intercepted arc. ST and QR are not congruent, so m/SUT is undefined. d the correct angle measure. SUT = T
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### ERROR ANALYSIS: Describe the error in finding the angle measure
**Diagram Explanation:**
The diagram shows a circle with center \( P \). A chord \( ST \) and an arc \( QR \) are marked. The given angle \( \angle SUT \) is labeled as 46°. There is an error in calculating \( m \angle SUT \). According to the incorrect solution given:
- \( m \angle SUT = 46° \)
- Therefore, \( m \angle SUT = 46° \)
**Errors to Consider:**
1. **\( \angle SUT \) is not a central angle.**
2. \( \overline{ST} \) needs to be subtracted from 180°.
3. \( m \angle SUT \) is equal to the opposite intercepted arc.
4. \( \overline{ST} \) and \( \overline{QR} \) are not congruent, so \( m \angle SUT \) is undefined.
**Correct Answer:**
Find the correct angle measure:
\[ m \angle SUT = \_\_\_\_\_ \]
**Conclusion:**
To find the correct measure of \( \angle SUT \), understanding the properties of the angles in a circle and their relation to the intercepted arcs is crucial. The correct approach needs to consider the geometric principles accurately to avoid the error shown.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff684c5ae-c1bb-4634-93a7-b9d772de63da%2F52be4de4-a330-4631-a5ee-56cd5406dccc%2Fxac7e83_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### ERROR ANALYSIS: Describe the error in finding the angle measure
**Diagram Explanation:**
The diagram shows a circle with center \( P \). A chord \( ST \) and an arc \( QR \) are marked. The given angle \( \angle SUT \) is labeled as 46°. There is an error in calculating \( m \angle SUT \). According to the incorrect solution given:
- \( m \angle SUT = 46° \)
- Therefore, \( m \angle SUT = 46° \)
**Errors to Consider:**
1. **\( \angle SUT \) is not a central angle.**
2. \( \overline{ST} \) needs to be subtracted from 180°.
3. \( m \angle SUT \) is equal to the opposite intercepted arc.
4. \( \overline{ST} \) and \( \overline{QR} \) are not congruent, so \( m \angle SUT \) is undefined.
**Correct Answer:**
Find the correct angle measure:
\[ m \angle SUT = \_\_\_\_\_ \]
**Conclusion:**
To find the correct measure of \( \angle SUT \), understanding the properties of the angles in a circle and their relation to the intercepted arcs is crucial. The correct approach needs to consider the geometric principles accurately to avoid the error shown.
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