Question

Angle V and
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.

Answer 1

Given that angles V and another angle share a side and the sum of their measures is 180°, we can analyze the provided statements:

1. **They are complementary angles.** - **False** (Complementary angles sum to 90°, not 180°).
2. **They are congruent angles.** - **False** (This requires both angles to be equal, which is not necessarily true here).
3. **They are a linear pair.** - **True** (If they share a side and are supplementary, they form a linear pair).
4. **They are adjacent angles.** - **True** (Since they share a side, they are adjacent).
5. **They are vertical angles.** - **False** (Vertical angles are angles that are opposite each other when two lines cross, which is not a condition stated here).
6. **They are supplementary angles.** - **True** (By definition, supplementary angles are two angles whose measures sum to 180°).

So, the correct answers are:

- C: They are a linear pair.
- D: They are adjacent angles.
- F: They are supplementary angles.