Concept explainers
In the given figure, name each of the following pairs of angles. Assume
a. a and b
b. a and c
c. d and e
d. b and c
![Check Mark](/static/check-mark.png)
a)
To find:
The name of the given pair of angles by which it is called.
Answer to Problem 1CT
Solution:
Named the given pair of angles.
Explanation of Solution
Given,
From the figure,
Pair of angles | Name |
a and b | Vertically opposite angles |
Final statement:
Therefore, named the given pair of angles.
![Check Mark](/static/check-mark.png)
b)
To find:
The name of the given pairs of angles by which it is called.
Answer to Problem 1CT
Solution:
Named the given pair of angles.
Explanation of Solution
Given,
From the figure,
Pair of angles | Name |
a and c | Corresponding angles |
Final statement:
Therefore, named the given pair of angles.
![Check Mark](/static/check-mark.png)
c)
To find:
The name of the given pairs of angles by which it is called.
Answer to Problem 1CT
Solution:
Named the given pair of angles.
Explanation of Solution
Given,
From the figure,
Pair of angles | Name |
d and e | Alternate exterior angle |
Final statement:
Therefore, named the given pair of angles.
![Check Mark](/static/check-mark.png)
d)
To find:
The name of the given pairs of angles by which it is called.
Answer to Problem 1CT
Solution:
Named the given pair of angles.
Explanation of Solution
Given,
From the figure,
Pair of angles | Name |
b and c | Alternate interior angles |
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