### Geometry Problem Set Instructions **Task:** Solve the geometry problems for parts A and B as described below. #### Problem A **Given:** 1. \( BA = DE \) 2. \( m \angle DP = 20^\circ \) 3. \( m \angle BA = 100^\circ \) **Find:** \[ m \angle C \] #### Problem B **Given:** 1. \( CB = 6 \) 2. \( CA = 10 \) 3. \( CD = 4 \) **Find:** \[ CE \] #### Diagram Explanation The provided diagram illustrates a circle with the following labeled points: \( A, B, C, D, \) and \( E \). Here is a detailed description of the diagram: - Points \( A, B, C, D, \) and \( E \) are on the circumference of the circle. - \( A \) is the topmost point, and \( D \) is to the left of \( A \), both connected by line segments to other points. - Line Segment \( AB \) is shown with an angle above it labeled \( \angle BA = 100^\circ \). - Line Segment \( DE \) is parallel to \( BA \). - Point \( C \) connects to different points forming various triangles within the circle. - \( \angle DP \), formed by lines extending from \( D \) and intersecting \( P \) outside the circle, is labeled \( 20^\circ \). Please use the provided information and diagram to solve the problems.
### Geometry Problem Set Instructions **Task:** Solve the geometry problems for parts A and B as described below. #### Problem A **Given:** 1. \( BA = DE \) 2. \( m \angle DP = 20^\circ \) 3. \( m \angle BA = 100^\circ \) **Find:** \[ m \angle C \] #### Problem B **Given:** 1. \( CB = 6 \) 2. \( CA = 10 \) 3. \( CD = 4 \) **Find:** \[ CE \] #### Diagram Explanation The provided diagram illustrates a circle with the following labeled points: \( A, B, C, D, \) and \( E \). Here is a detailed description of the diagram: - Points \( A, B, C, D, \) and \( E \) are on the circumference of the circle. - \( A \) is the topmost point, and \( D \) is to the left of \( A \), both connected by line segments to other points. - Line Segment \( AB \) is shown with an angle above it labeled \( \angle BA = 100^\circ \). - Line Segment \( DE \) is parallel to \( BA \). - Point \( C \) connects to different points forming various triangles within the circle. - \( \angle DP \), formed by lines extending from \( D \) and intersecting \( P \) outside the circle, is labeled \( 20^\circ \). Please use the provided information and diagram to solve the problems.
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
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![### Geometry Problem Set Instructions
**Task:** Solve the geometry problems for parts A and B as described below.
#### Problem A
**Given:**
1. \( BA = DE \)
2. \( m \angle DP = 20^\circ \)
3. \( m \angle BA = 100^\circ \)
**Find:**
\[ m \angle C \]
#### Problem B
**Given:**
1. \( CB = 6 \)
2. \( CA = 10 \)
3. \( CD = 4 \)
**Find:**
\[ CE \]
#### Diagram Explanation
The provided diagram illustrates a circle with the following labeled points: \( A, B, C, D, \) and \( E \). Here is a detailed description of the diagram:
- Points \( A, B, C, D, \) and \( E \) are on the circumference of the circle.
- \( A \) is the topmost point, and \( D \) is to the left of \( A \), both connected by line segments to other points.
- Line Segment \( AB \) is shown with an angle above it labeled \( \angle BA = 100^\circ \).
- Line Segment \( DE \) is parallel to \( BA \).
- Point \( C \) connects to different points forming various triangles within the circle.
- \( \angle DP \), formed by lines extending from \( D \) and intersecting \( P \) outside the circle, is labeled \( 20^\circ \).
Please use the provided information and diagram to solve the problems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55a87db1-34dd-4361-bb49-0fd4dde658a5%2F535425bb-43de-48c5-835e-d93ce429e40c%2Fg7s81ee.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry Problem Set Instructions
**Task:** Solve the geometry problems for parts A and B as described below.
#### Problem A
**Given:**
1. \( BA = DE \)
2. \( m \angle DP = 20^\circ \)
3. \( m \angle BA = 100^\circ \)
**Find:**
\[ m \angle C \]
#### Problem B
**Given:**
1. \( CB = 6 \)
2. \( CA = 10 \)
3. \( CD = 4 \)
**Find:**
\[ CE \]
#### Diagram Explanation
The provided diagram illustrates a circle with the following labeled points: \( A, B, C, D, \) and \( E \). Here is a detailed description of the diagram:
- Points \( A, B, C, D, \) and \( E \) are on the circumference of the circle.
- \( A \) is the topmost point, and \( D \) is to the left of \( A \), both connected by line segments to other points.
- Line Segment \( AB \) is shown with an angle above it labeled \( \angle BA = 100^\circ \).
- Line Segment \( DE \) is parallel to \( BA \).
- Point \( C \) connects to different points forming various triangles within the circle.
- \( \angle DP \), formed by lines extending from \( D \) and intersecting \( P \) outside the circle, is labeled \( 20^\circ \).
Please use the provided information and diagram to solve the problems.
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