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2. m/BCD A 260⁰ B 100° C D

2. m/BCD A 260⁰ B 100° C D

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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In Problems 2- 4, find each value of x. Round to the nearest tenth. Show your work. Please answer both questions
--- ### Geometry Problems #### 2. Measure of \(\angle BCD\) In this problem, you are given a circle with points \(A\), \(B\), \(C\), and \(D\) on its circumference. The following angles are given: - The angle subtending arc \(AC\) (which is \(\angle BCD\)) is \(100^\circ\). - The arc \(A\) subtends \(260^\circ\). **Diagram Explanation:** - A circle with center not labeled. - Point \(B\) is on the circumference of the circle. - Points \(A\) and \(C\) form an arc \(AC\) that subtends \(260^\circ\). - Line segment \(BCD\) forms an angle \(\angle BCD\) outside the circle at point \(D\), measured to be \(100^\circ\). #### 4. Measure of \(\angle EJF\) In this problem, you must find the measure of \(\angle EJF\) given the following details: - \(\angle EJF\) is subtending a circle at points \(E\), \(F\), \(G\), \(H\), and \(J\). - \(\angle EF\) is given as \(140^\circ\). - The arc \(HG\) subtends \(36^\circ\). **Diagram Explanation:** - A circle with center not labeled. - Point \(E\) is at the top of the circle. - Points \(F\) and \(J\) are on the circumference, with the angle \(\angle EJF\) subtending a larger arc across the circle. - Arc \(EF\) measures \(140^\circ\). - Arc \(HG\) measures \(36^\circ\). --- This content provides a detailed transcription of the given geometry problems, suitable for educational contexts such as school websites or online learning platforms.
Transcribed Image Text:--- ### Geometry Problems #### 2. Measure of \(\angle BCD\) In this problem, you are given a circle with points \(A\), \(B\), \(C\), and \(D\) on its circumference. The following angles are given: - The angle subtending arc \(AC\) (which is \(\angle BCD\)) is \(100^\circ\). - The arc \(A\) subtends \(260^\circ\). **Diagram Explanation:** - A circle with center not labeled. - Point \(B\) is on the circumference of the circle. - Points \(A\) and \(C\) form an arc \(AC\) that subtends \(260^\circ\). - Line segment \(BCD\) forms an angle \(\angle BCD\) outside the circle at point \(D\), measured to be \(100^\circ\). #### 4. Measure of \(\angle EJF\) In this problem, you must find the measure of \(\angle EJF\) given the following details: - \(\angle EJF\) is subtending a circle at points \(E\), \(F\), \(G\), \(H\), and \(J\). - \(\angle EF\) is given as \(140^\circ\). - The arc \(HG\) subtends \(36^\circ\). **Diagram Explanation:** - A circle with center not labeled. - Point \(E\) is at the top of the circle. - Points \(F\) and \(J\) are on the circumference, with the angle \(\angle EJF\) subtending a larger arc across the circle. - Arc \(EF\) measures \(140^\circ\). - Arc \(HG\) measures \(36^\circ\). --- This content provides a detailed transcription of the given geometry problems, suitable for educational contexts such as school websites or online learning platforms.
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