Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.1: Angle Relationships
Problem 24E
Related questions
Question
![**Understanding Vertical Angles**
**Question:** Which angle number represents an angle vertical to ∠DGA?
**Diagram Description:**
In the geometric diagram provided, several angles are formed by intersecting lines:
- Points A, C, B, and E, G, F, D form two intersecting lines at point H.
- The angles formed around point H are labeled with numbers 1 to 6:
- ∠EHC is labeled as angle 3.
- ∠CHB is labeled as angle 4.
- ∠BHF is labeled as angle 5.
- ∠FHE is labeled as angle 6.
- ∠GH is labeled as angle 2.
- ∠AGH is labeled as angle 1.
**Answer Options:**
- __: Input field for the user to submit their answer.
**Guide to Solution:**
1. **Identify the given angle, ∠DGA:** Although ∠DGA is not explicitly labeled, it is implied to be one of the angles formed at point H and involving points D, G, and A.
2. **Recognize vertical angles:** Vertical angles are the angles opposite each other when two lines intersect. They share a vertex but do not share any rays.
3. **Find the vertical angle to ∠DGA:**
- Vertical to ∠DGA, we look for the angle directly across from it at the intersection (point H).
Submit your final answer by entering the angle number in the field provided and clicking "Submit Answer."
**Note:** Attempt 1 out of 3 / problem 1 out of max 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a95b223-55ba-4914-b436-bae7c43ed50d%2F94364ad5-3033-46e2-a00c-4d153018865d%2Ftogtewl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Vertical Angles**
**Question:** Which angle number represents an angle vertical to ∠DGA?
**Diagram Description:**
In the geometric diagram provided, several angles are formed by intersecting lines:
- Points A, C, B, and E, G, F, D form two intersecting lines at point H.
- The angles formed around point H are labeled with numbers 1 to 6:
- ∠EHC is labeled as angle 3.
- ∠CHB is labeled as angle 4.
- ∠BHF is labeled as angle 5.
- ∠FHE is labeled as angle 6.
- ∠GH is labeled as angle 2.
- ∠AGH is labeled as angle 1.
**Answer Options:**
- __: Input field for the user to submit their answer.
**Guide to Solution:**
1. **Identify the given angle, ∠DGA:** Although ∠DGA is not explicitly labeled, it is implied to be one of the angles formed at point H and involving points D, G, and A.
2. **Recognize vertical angles:** Vertical angles are the angles opposite each other when two lines intersect. They share a vertex but do not share any rays.
3. **Find the vertical angle to ∠DGA:**
- Vertical to ∠DGA, we look for the angle directly across from it at the intersection (point H).
Submit your final answer by entering the angle number in the field provided and clicking "Submit Answer."
**Note:** Attempt 1 out of 3 / problem 1 out of max 1
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