1 In the circle, what is the measure of AB? (6x-30) D A 160° B) 200° 120° 60 0 C B 80⁰ D (4x)

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:**

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°
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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