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m BE = т BD %3 147° m EA = т ЕВА —

m BE = т BD %3 147° m EA = т ЕВА —

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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### Educational Website Transcription #### Geometry: Circle and Arcs Below you will find equations involving the measures of arcs in a circle. The diagram provides a visualization for you to interpret the necessary arc measures. ##### Equations to Determine Measures of Arcs: 1. \( m \overset{\frown}{BE} = \) __________ 2. \( m \overset{\frown}{BD} = \) __________ 3. \( m \overset{\frown}{EA} = \) __________ 4. \( m \overset{\frown}{EBA} = \) __________ #### Diagram Explanation: The diagram to the right depicts a circle with the following points labeled: - **B** as a point on the circumference. - **E** as a point on the circumference. - **A** as a point on the circumference. - **D** as a point on the circumference. - **C** as a point within the circle. The circle is divided into arcs by chords: - The chord \( \overline{BE} \). - The chord \( \overline{BD} \). - The chord \( \overline{EA} \). An angle of \( 147^\circ \) is marked at point \( C \) between the lines connecting \( E \) to \( C \) and \( A \) to \( C \). Please use the provided diagram and the angle given to deduce the measures of the arcs \( \overset{\frown}{BE} \), \( \overset{\frown}{BD} \), \( \overset{\frown}{EA} \), and \( \overset{\frown}{EBA} \).
Transcribed Image Text:### Educational Website Transcription #### Geometry: Circle and Arcs Below you will find equations involving the measures of arcs in a circle. The diagram provides a visualization for you to interpret the necessary arc measures. ##### Equations to Determine Measures of Arcs: 1. \( m \overset{\frown}{BE} = \) __________ 2. \( m \overset{\frown}{BD} = \) __________ 3. \( m \overset{\frown}{EA} = \) __________ 4. \( m \overset{\frown}{EBA} = \) __________ #### Diagram Explanation: The diagram to the right depicts a circle with the following points labeled: - **B** as a point on the circumference. - **E** as a point on the circumference. - **A** as a point on the circumference. - **D** as a point on the circumference. - **C** as a point within the circle. The circle is divided into arcs by chords: - The chord \( \overline{BE} \). - The chord \( \overline{BD} \). - The chord \( \overline{EA} \). An angle of \( 147^\circ \) is marked at point \( C \) between the lines connecting \( E \) to \( C \) and \( A \) to \( C \). Please use the provided diagram and the angle given to deduce the measures of the arcs \( \overset{\frown}{BE} \), \( \overset{\frown}{BD} \), \( \overset{\frown}{EA} \), and \( \overset{\frown}{EBA} \).
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