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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
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### Geometry Problem: Circle and Angles

#### Problem Statement:
Refer to the diagram given below to solve the following geometry problem.

![Geometry Diagram](image-url)

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.
Transcribed Image Text:### Geometry Problem: Circle and Angles #### Problem Statement: Refer to the diagram given below to solve the following geometry problem. ![Geometry Diagram](image-url) 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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