To determine which statement is true, we need to understand the relationship between the angles mentioned.
- Adjacent angles share a common side and vertex but do not overlap.
- Vertical angles are the angles opposite one another when two lines cross. They are always equal.
- Supplementary angles add up to 180°.
- Complementary angles add up to 90°.
Without the specific diagram of the angles you are referring to, we cannot definitively select the correct answer. However, we can analyze the responses:
-
A suggests that \( x = 60° \) because the angles are adjacent. This is true if the adjacent angles sum to 60°, which is not typical because adjacent angles usually are not equal.
-
B states that \( x = 60° \) because the angles are vertical angles. This would be true only if the crossing lines created two angles of 60° each.
-
C indicates that \( x = 120° \) because the angles are supplementary. This could be true if another angle is 60°, as supplementary angles add to 180°.
-
D asserts that \( x = 120° \) because the angles are complementary. This cannot be correct since complementary angles must sum to 90°.
If the angles in question are supplementary (adding to 180°), then C is the correct answer. If there's a context that clarifies the relationships or configurations of the angles, please provide that for a more accurate determination. Otherwise, based on usual angle relationships: C is likely the correct choice if the angles indeed add up to 180°.