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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Question
![**Question:**
1. In the circle, what is the measure of \( \overarc{AB} \)?
**Diagram Description:**
- The diagram shows a circle with points labeled \( A \), \( B \), \( C \), and \( D \).
- \( AC \) and \( BD \) are chords of the circle.
- The angle subtended by \( AC \) at the center is given by the expression \( (6x - 30)^\circ \).
- The angle subtended by \( BD \) at the center is given as \( 80^\circ \).
- The angle subtended by the arc \( CD \) is \( (4x)^\circ \).
**Answer Options:**
- \( A \) 160°
- \( B \) 200°
- \( C \) 120°
- \( D \) 60°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43d2448d-3e96-4e40-abdb-281cc47928a3%2Fd650eaab-292a-4549-99ae-3aefd475e9e6%2Fuie3f4m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
1. In the circle, what is the measure of \( \overarc{AB} \)?
**Diagram Description:**
- The diagram shows a circle with points labeled \( A \), \( B \), \( C \), and \( D \).
- \( AC \) and \( BD \) are chords of the circle.
- The angle subtended by \( AC \) at the center is given by the expression \( (6x - 30)^\circ \).
- The angle subtended by \( BD \) at the center is given as \( 80^\circ \).
- The angle subtended by the arc \( CD \) is \( (4x)^\circ \).
**Answer Options:**
- \( A \) 160°
- \( B \) 200°
- \( C \) 120°
- \( D \) 60°
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