Question
Angle V and <W share a side and the sum of their measures is 180°. What do you know about these angles? Select all that apply.
A. They are complementary angles.
B. They are congruent angles.
C. They are a linear pair.
D. They are adjacent angles.
E. They are vertical angles.
F. They are supplementary angles.
A. They are complementary angles.
B. They are congruent angles.
C. They are a linear pair.
D. They are adjacent angles.
E. They are vertical angles.
F. They are supplementary angles.
Answers
GPT-4o mini
Given that angle V and angle W share a side and the sum of their measures is 180°, we can conclude the following:
C. They are a linear pair.
D. They are adjacent angles.
F. They are supplementary angles.
- **Linear pair**: Since they share a side and the sum of their measures is 180°, they form a linear pair.
- **Adjacent angles**: They are adjacent because they share a side.
- **Supplementary angles**: Since the sum of their measures is 180°, they are supplementary angles.
The other options do not apply:
A. They are not complementary angles because complementary angles sum to 90°.
B. They are not necessarily congruent angles unless explicitly stated.
E. They are not vertical angles as vertical angles do not share a side.
So the correct selections are C, D, and F.
C. They are a linear pair.
D. They are adjacent angles.
F. They are supplementary angles.
- **Linear pair**: Since they share a side and the sum of their measures is 180°, they form a linear pair.
- **Adjacent angles**: They are adjacent because they share a side.
- **Supplementary angles**: Since the sum of their measures is 180°, they are supplementary angles.
The other options do not apply:
A. They are not complementary angles because complementary angles sum to 90°.
B. They are not necessarily congruent angles unless explicitly stated.
E. They are not vertical angles as vertical angles do not share a side.
So the correct selections are C, D, and F.