https://file.aiquickdraw.com/mathbot/file/1725558344512ybxssz95.jpg

Use the diagram and the given angle measure to find the other three angle measures.


 
m
∠
1
=
125
°
m∠1=125° 



m
∠
2
=
m∠2=  
55
 

m
∠
3
=
m∠3=  
125
 

m
∠
4
=
m∠4=  
55
 



The diagram shows two intersecting lines, creating four angles labeled 1, 2, 3, and 4. Given that the measure of angle 1 (m∠1) is 125°, we need to find the measures of the other three angles: m∠2, m∠3, and m∠4.

### Solution:

1. **Vertical Angles**: 
   - Vertical angles are equal. Thus, m∠1 = m∠3.
   - Since m∠1 = 125°, we have m∠3 = 125°.

2. **Adjacent Angles**:
   - Adjacent angles formed by two intersecting lines are supplementary (they add up to 180°). Therefore:
     - m∠1 + m∠2 = 180°
     - m∠3 + m∠4 = 180°

   - Substituting the given values:
     - 125° + m∠2 = 180°  
     - m∠2 = 180° - 125°  
     - m∠2 = 55°

   - Similarly, for m∠4:
     - m∠3 + m∠4 = 180°  
     - 125° + m∠4 = 180°  
     - m∠4 = 180° - 125°  
     - m∠4 = 55°

### Conclusion:
- m∠1 = 125°
- m∠2 = 55°
- m∠3 = 125°
- m∠4 = 55°

Would you like more details or have any questions?

### Related Questions:
1. What are vertical angles, and how can you identify them in a diagram?
2. How do adjacent angles relate when formed by two intersecting lines?
3. What is the difference between complementary and supplementary angles?
4. Can two adjacent angles ever be equal? Under what conditions?
5. How would these angle measures change if one of the lines in the diagram were rotated?

**Tip:** Remember, vertical angles are always equal, and adjacent angles formed by intersecting lines are supplementary.

Use the diagram and the given angle measure to find the other three angle measures. m∠1=125°, find m∠2, m∠3, and m∠4.

Learn how to find the measures of angles m∠2, m∠3, and m∠4 using the given angle m∠1 = 125°. This problem involves identifying vertical and supplementary angles, important concepts in geometry for students in Grades 6-8.

Math Problem Statement

m ∠ 1

m ∠ 2

m ∠ 3

m ∠ 4

Solution

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