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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Topic Video
Question
In the diagram:
- A circle is drawn with a center point marked.
- Inside the circle, there is a chord that creates two intersecting lines, forming a quadrilateral.
- Angles are marked as follows:
- \( \angle x \) on the left side of the circle.
- \( \angle y \) below \( \angle x \).
- \( \angle z \) near the top right of the circle.
- \( \angle 19^\circ \) is given directly under \( \angle z \).
The circle is sectioned by lines intersecting each other and the circumference, creating several angles marked with variables and a given measure.
### Questions:
Using the information provided in the diagram, find the values of:
1. \( x \)
2. \( y \)
Each question is to be answered in the provided answer boxes.
#### Answer Boxes:
```
#6: x = ______ *
Your answer
#6: y = ______ *
Your answer
```
### Instruction:
Fill in the values for \( x \) and \( y \) using the properties of the circle and angles. Once calculated, enter your answers in the respective fields.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2b20eb7-d793-4612-a1ce-d77622408305%2Fc0dcf7d9-b95d-4b46-bb65-e3b41a4fe4f1%2F7ic6iit_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry Problem: Circle and Angles
#### Problem Statement:
Refer to the diagram given below to solve the following geometry problem.
In the diagram:
- A circle is drawn with a center point marked.
- Inside the circle, there is a chord that creates two intersecting lines, forming a quadrilateral.
- Angles are marked as follows:
- \( \angle x \) on the left side of the circle.
- \( \angle y \) below \( \angle x \).
- \( \angle z \) near the top right of the circle.
- \( \angle 19^\circ \) is given directly under \( \angle z \).
The circle is sectioned by lines intersecting each other and the circumference, creating several angles marked with variables and a given measure.
### Questions:
Using the information provided in the diagram, find the values of:
1. \( x \)
2. \( y \)
Each question is to be answered in the provided answer boxes.
#### Answer Boxes:
```
#6: x = ______ *
Your answer
#6: y = ______ *
Your answer
```
### Instruction:
Fill in the values for \( x \) and \( y \) using the properties of the circle and angles. Once calculated, enter your answers in the respective fields.
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