Given: Angles 1 and 2 are complementary m/1 = 36° 2 3 1. 21 and 22 are complementary given m21= 36 given m 36⁰+ m22 = 90° definition of complementary angles 22 and 23 are a linear pair mz2+mz3=180° given linear pairs theorem What is most likely being shown by the proof? A. m/1 + m/3 = 90° B. m/1 + m23 180° O c. m/3126⁰ OD. m/3 144° m22-54° subtraction property of equality 54" + m23= 180° substitution property of equality ?
Given: Angles 1 and 2 are complementary m/1 = 36° 2 3 1. 21 and 22 are complementary given m21= 36 given m 36⁰+ m22 = 90° definition of complementary angles 22 and 23 are a linear pair mz2+mz3=180° given linear pairs theorem What is most likely being shown by the proof? A. m/1 + m/3 = 90° B. m/1 + m23 180° O c. m/3126⁰ OD. m/3 144° m22-54° subtraction property of equality 54" + m23= 180° substitution property of equality ?
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section1.2: The Rectangular Coordinate System
Problem 92PS: Draw an angle in standard position whose terminal side contains the point (2, –3). Find the...
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Transcribed Image Text:**Title: Understanding Complementary and Linear Pair Angles**
*Given: Angles 1 and 2 are complementary.*
1. **m∠1 = 36°**
- *Given*
2. **∠1 and ∠2 are complementary**
- *Definition: Complementary angles add up to 90°.*
3. **36° + m∠2 = 90°**
- *Using the definition of complementary angles.*
4. **m∠2 = 54°**
- *Subtraction property of equality.*
5. **∠2 and ∠3 are a linear pair**
- *Given: Linear pairs add up to 180°.*
6. **m∠2 + m∠3 = 180°**
- *Linear pairs theorem.*
7. **54° + m∠3 = 180°**
- *Substitution property of equality.*
8. **Conclusion:**
- Therefore, m∠3 = 126°.
**What is most likely being shown by the proof?**
- A. m∠1 + m∠3 = 90°
- B. m∠1 + m∠3 = 180°
- C. m∠3 = 126°
- D. m∠3 = 144°
**Correct Answer:** C. m∠3 = 126°
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