10 Which of the following statements is true based on the picture? B A C D A) LABC+ZCBD = ZABD B) LABC + LBCD = LABD c) ZBAC+ZCBD = LABD D) ZCAB+ ZBCD = LABD
10 Which of the following statements is true based on the picture? B A C D A) LABC+ZCBD = ZABD B) LABC + LBCD = LABD c) ZBAC+ZCBD = LABD D) ZCAB+ ZBCD = LABD
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
Related questions
Question
- The diagram shows four rays emanating from point B: BA, BC, and BD, creating angles at point B.
**Options:**
A. \( \angle ABC + \angle CBD = \angle ABD \)
B. \( \angle ABC + \angle BCD = \angle ABD \)
C. \( \angle BAC + \angle CBD = \angle ABD \)
D. \( \angle CAB + \angle BCD = \angle ABD \)
**Explanation:**
The diagram presents angles formed by the intersection of these lines, where:
- Ray BA and ray BC form angle ABC.
- Ray BC and ray BD form angle CBD.
- Ray BA and ray BD form angle ABD.
- Ray CA and ray BD form angle CAB and BCD respectively.
The task is to identify which equation among the given options correctly represents a relationship between these angles based on the diagram.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43d2448d-3e96-4e40-abdb-281cc47928a3%2F6cc8d165-a7f8-421e-828c-749278a4e206%2Ffik1lz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 10:**
Which of the following statements is true based on the picture?
- The diagram shows four rays emanating from point B: BA, BC, and BD, creating angles at point B.
**Options:**
A. \( \angle ABC + \angle CBD = \angle ABD \)
B. \( \angle ABC + \angle BCD = \angle ABD \)
C. \( \angle BAC + \angle CBD = \angle ABD \)
D. \( \angle CAB + \angle BCD = \angle ABD \)
**Explanation:**
The diagram presents angles formed by the intersection of these lines, where:
- Ray BA and ray BC form angle ABC.
- Ray BC and ray BD form angle CBD.
- Ray BA and ray BD form angle ABD.
- Ray CA and ray BD form angle CAB and BCD respectively.
The task is to identify which equation among the given options correctly represents a relationship between these angles based on the diagram.
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