79 50 a -> 230 b

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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How do I do this?

The image displays a geometric diagram consisting of intersecting lines and angles. Here's a detailed description suitable for an educational website:

---

**Diagram Explanation:**

The diagram presents two main intersecting lines, forming several angles at the point of intersection. Here are the key features:

1. **Intersecting Lines:**
   - Two horizontal lines intersect a diagonal line, forming multiple angles.

2. **Labeled Angles:**
   - Several angles are clearly marked:
     - One angle is labeled as 23°.
     - Another angle is labeled as 79°.
     - A circle indicates an angle labeled 100°.
     - Two unknown angles are marked as \( a \) and \( b \).

3. **Annotations:**
   - The values for angles \( a \) and \( b \) are provided:
     - \( a = 78^\circ \)
     - \( b = 29^\circ \)

4. **Mathematical Notations:**
   - The angles are marked with standard circle arc symbols and their values are written adjacent to them.

**Note:**
- This diagram can be used to explore the properties of intersecting lines, such as vertical angles being equal and the sum of angles around a point being 360°.

**Page Context:**
- There are faint mathematical calculations written around the diagram, possibly related to solving for unknown angle values.
- The page is numbered "134," which could be part of a larger text or workbook.

---

This description is designed to help students understand the geometric properties demonstrated in the diagram.
Transcribed Image Text:The image displays a geometric diagram consisting of intersecting lines and angles. Here's a detailed description suitable for an educational website: --- **Diagram Explanation:** The diagram presents two main intersecting lines, forming several angles at the point of intersection. Here are the key features: 1. **Intersecting Lines:** - Two horizontal lines intersect a diagonal line, forming multiple angles. 2. **Labeled Angles:** - Several angles are clearly marked: - One angle is labeled as 23°. - Another angle is labeled as 79°. - A circle indicates an angle labeled 100°. - Two unknown angles are marked as \( a \) and \( b \). 3. **Annotations:** - The values for angles \( a \) and \( b \) are provided: - \( a = 78^\circ \) - \( b = 29^\circ \) 4. **Mathematical Notations:** - The angles are marked with standard circle arc symbols and their values are written adjacent to them. **Note:** - This diagram can be used to explore the properties of intersecting lines, such as vertical angles being equal and the sum of angles around a point being 360°. **Page Context:** - There are faint mathematical calculations written around the diagram, possibly related to solving for unknown angle values. - The page is numbered "134," which could be part of a larger text or workbook. --- This description is designed to help students understand the geometric properties demonstrated in the diagram.
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