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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![### Problem Statement:
In the diagram below, \(\overline{AB} \cong \overline{BC}\), and \(m \angle A = 63^\circ\). Find \(m \angle BCD\).
[Graphical Diagram]
The diagram consists of a triangle \(ABC\) where \(\overline{AB}\) is congruent to \(\overline{BC}\). Additionally, there is a point \(D\) connected from point \(C\) extending outside the triangle. The given angle \( \angle A \) is indicated as \(63^\circ\).
### Diagram Description:
- **Vertices and Points**: Points \(A\), \(B\), \(C\), and \(D\) are indicated.
- **Lines**: Lines \( \overline{AB} \), \( \overline{BC} \), and \( \overline{CD} \) are drawn.
- **Given Angle**: Identified as \(\angle A = 63^\circ\).
### Instructions:
- Assume that lines that appear straight are straight.
- The figure is not otherwise drawn to scale.
### Answer Box:
**Answer: \(m \angle BCD = \) [input box here] [degrees symbol]**
#### Submit Button:
**Submit Answer**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83d555c4-b7c6-4d9f-a7a4-15dd11c988a3%2F8659dee8-3778-490f-8ad7-54bf6f28432d%2Fmznl88i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
In the diagram below, \(\overline{AB} \cong \overline{BC}\), and \(m \angle A = 63^\circ\). Find \(m \angle BCD\).
[Graphical Diagram]
The diagram consists of a triangle \(ABC\) where \(\overline{AB}\) is congruent to \(\overline{BC}\). Additionally, there is a point \(D\) connected from point \(C\) extending outside the triangle. The given angle \( \angle A \) is indicated as \(63^\circ\).
### Diagram Description:
- **Vertices and Points**: Points \(A\), \(B\), \(C\), and \(D\) are indicated.
- **Lines**: Lines \( \overline{AB} \), \( \overline{BC} \), and \( \overline{CD} \) are drawn.
- **Given Angle**: Identified as \(\angle A = 63^\circ\).
### Instructions:
- Assume that lines that appear straight are straight.
- The figure is not otherwise drawn to scale.
### Answer Box:
**Answer: \(m \angle BCD = \) [input box here] [degrees symbol]**
#### Submit Button:
**Submit Answer**
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