← → CD sd206.org bookmarks deltamath.com/app/student/solve/17219734/custom1665751853001 Supreme Court Cas.... A e If m/CGB = 101°, then what is m/DGA? New Tab Answer: m/DGA = A G 32 65 D O B F Submit Answer attempt 1 out of 2
← → CD sd206.org bookmarks deltamath.com/app/student/solve/17219734/custom1665751853001 Supreme Court Cas.... A e If m/CGB = 101°, then what is m/DGA? New Tab Answer: m/DGA = A G 32 65 D O B F Submit Answer attempt 1 out of 2
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
Question
![### Geometry Problem
**Problem Statement:**
If \( m \angle CGB = 101^\circ \), then what is \( m \angle DGA \)?
**Diagram Explanation:**
The diagram consists of several intersecting lines forming angles at points G and H.
- Line \( AB \) is horizontal, passing through G.
- Line \( CD \) is vertical, passing through G.
- Line \( EF \) is horizontal, passing through H.
- Line \( DH \) and \( GH \) extend diagonally.
The angles are labeled as follows:
- \( \angle 1 \) is on the upper side between line \( CG \) and line \( GB \).
- \( \angle 2 \) is on the lower side between line \( GB \) and line \( AB \).
- \( \angle 3 \) is between line \( AG \) and line \( CG \).
- \( \angle 4, 5, \) and \( 6 \) are not explicitly defined in the context.
**Solution Steps:**
1. Recognize that \( \angle CGB \) and \( \angle DGA \) are vertical angles (or supplements depending on the diagram layout).
2. Use the properties of vertical angles or supplementary angles to calculate \( m \angle DGA \).
**Answer:**
\( m \angle DGA = 101^\circ \)
\[ \boxed{101} \]
**Submit your answer below:**
\[ m \angle DGA = \] \[ \_\_\_\_^\circ \]
**Submit Answer** button included for input.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a79dcac-a3cb-4e2b-a227-03982a48fb50%2F44537be6-24a9-4c41-afde-54332e37dd8a%2Fu9tzbuq_processed.png&w=3840&q=75)
Transcribed Image Text:### Geometry Problem
**Problem Statement:**
If \( m \angle CGB = 101^\circ \), then what is \( m \angle DGA \)?
**Diagram Explanation:**
The diagram consists of several intersecting lines forming angles at points G and H.
- Line \( AB \) is horizontal, passing through G.
- Line \( CD \) is vertical, passing through G.
- Line \( EF \) is horizontal, passing through H.
- Line \( DH \) and \( GH \) extend diagonally.
The angles are labeled as follows:
- \( \angle 1 \) is on the upper side between line \( CG \) and line \( GB \).
- \( \angle 2 \) is on the lower side between line \( GB \) and line \( AB \).
- \( \angle 3 \) is between line \( AG \) and line \( CG \).
- \( \angle 4, 5, \) and \( 6 \) are not explicitly defined in the context.
**Solution Steps:**
1. Recognize that \( \angle CGB \) and \( \angle DGA \) are vertical angles (or supplements depending on the diagram layout).
2. Use the properties of vertical angles or supplementary angles to calculate \( m \angle DGA \).
**Answer:**
\( m \angle DGA = 101^\circ \)
\[ \boxed{101} \]
**Submit your answer below:**
\[ m \angle DGA = \] \[ \_\_\_\_^\circ \]
**Submit Answer** button included for input.
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