Find the mZ1 and m22. State your reasons for each. 1. 2. 102118° mLI+mL2=1180° 72% 031=27u to2L 211 62 2/1 180-72-108 Angle Measure Reason Angle Measure Reason 118° 72° 1 1180 108° 3. Angle Measure Reason 1 1270 127 127° 2. 2.
Find the mZ1 and m22. State your reasons for each. 1. 2. 102118° mLI+mL2=1180° 72% 031=27u to2L 211 62 2/1 180-72-108 Angle Measure Reason Angle Measure Reason 118° 72° 1 1180 108° 3. Angle Measure Reason 1 1270 127 127° 2. 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
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Question
**Diagram Explanation:**
- Two intersecting lines create adjacent and vertical angles.
- One angle is labeled as 118°.
**Angle Measures and Reasons:**
| Angle | Measure | Reason |
|-------|---------|------------------|
| 1 | 118° | Given |
| 2 | 118° | Vertical Angles |
---
### Problem 2:
**Diagram Explanation:**
- Two parallel lines are cut by a transversal.
- Angle 1 is labeled as 72°.
**Notes and Calculation:**
\[ m∠1 + m∠2 = 180° \]
\[ 72° + m∠2 = 180° \]
\[ m∠2 = 180° - 72° \]
\[ m∠2 = 108° \]
**Angle Measures and Reasons:**
| Angle | Measure | Reason |
|-------|---------|------------------|
| 1 | 72° | Given |
| 2 | 108° | Supplementary Angles (Sum is 180°) |
---
### Problem 3:
**Diagram Explanation:**
- Two intersecting lines create adjacent and vertical angles.
- One angle is labeled as 127°.
**Angle Measures and Reasons:**
| Angle | Measure | Reason |
|-------|---------|------------------|
| 1 | 127° | Given |
| 2 | 127° | Vertical Angles |
---
Understanding angle pair relationships is crucial in geometry. Remember to use properties of vertical angles, supplementary angles, and parallel lines to find unknown measures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64045525-2e49-4872-8f79-8ae8927f5ccc%2F6c50e570-bd44-48da-b689-d21fa70d9a64%2Fd2xtw4a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Angle Pair Relationships
## Instructions:
Find the measure of ∠1 and ∠2. State your reasons for each.
---
### Problem 1:
**Diagram Explanation:**
- Two intersecting lines create adjacent and vertical angles.
- One angle is labeled as 118°.
**Angle Measures and Reasons:**
| Angle | Measure | Reason |
|-------|---------|------------------|
| 1 | 118° | Given |
| 2 | 118° | Vertical Angles |
---
### Problem 2:
**Diagram Explanation:**
- Two parallel lines are cut by a transversal.
- Angle 1 is labeled as 72°.
**Notes and Calculation:**
\[ m∠1 + m∠2 = 180° \]
\[ 72° + m∠2 = 180° \]
\[ m∠2 = 180° - 72° \]
\[ m∠2 = 108° \]
**Angle Measures and Reasons:**
| Angle | Measure | Reason |
|-------|---------|------------------|
| 1 | 72° | Given |
| 2 | 108° | Supplementary Angles (Sum is 180°) |
---
### Problem 3:
**Diagram Explanation:**
- Two intersecting lines create adjacent and vertical angles.
- One angle is labeled as 127°.
**Angle Measures and Reasons:**
| Angle | Measure | Reason |
|-------|---------|------------------|
| 1 | 127° | Given |
| 2 | 127° | Vertical Angles |
---
Understanding angle pair relationships is crucial in geometry. Remember to use properties of vertical angles, supplementary angles, and parallel lines to find unknown measures.
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