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What is the measure of arc BD in the diagram below? C B 18 D A 83⁰ E

What is the measure of arc BD in the diagram below? C B 18 D A 83⁰ E

Elementary Geometry For College Students, 7e
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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**Title:** Calculating Arc Measures in a Circle **Question:** What is the measure of arc \( \overset{\frown}{BD} \) in the diagram below? **Diagram Description:** The diagram features a circle with five labeled points: \( A, B, C, D, \) and \( E \). Line segments \( \overline{CA} \) and \( \overline{CE} \) are extended outward from point \( C \). The angle \( \angle ACB \) is shown as 18°, and \( \angle AED \) as 83°. Arc \( \overset{\frown}{AB} \) is marked as 83°. **Answer Choices:** - A. 47° - B. 65° - C. 18° - D. 83° This problem requires understanding and applying the properties of angles and arcs within a circle. Use the information given about the angles and other arcs to find the correct measure of arc \( \overset{\frown}{BD} \).
Transcribed Image Text:**Title:** Calculating Arc Measures in a Circle **Question:** What is the measure of arc \( \overset{\frown}{BD} \) in the diagram below? **Diagram Description:** The diagram features a circle with five labeled points: \( A, B, C, D, \) and \( E \). Line segments \( \overline{CA} \) and \( \overline{CE} \) are extended outward from point \( C \). The angle \( \angle ACB \) is shown as 18°, and \( \angle AED \) as 83°. Arc \( \overset{\frown}{AB} \) is marked as 83°. **Answer Choices:** - A. 47° - B. 65° - C. 18° - D. 83° This problem requires understanding and applying the properties of angles and arcs within a circle. Use the information given about the angles and other arcs to find the correct measure of arc \( \overset{\frown}{BD} \).
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