Vertically opposite angles are always

Options

A. supplementary
B. complementary
C. adjacent
D. equal

Answer

To solve the question "Vertically opposite angles are always," we need to analyze the properties of vertically opposite angles formed when two lines intersect.

### Step-by-Step Solution:

1. **Understanding Vertically Opposite Angles**:
- When two lines intersect, they form four angles. These angles can be labeled as angle 1, angle 2, angle 3, and angle 4.
- Vertically opposite angles are the angles that are opposite each other when two lines cross.

2. **Identifying Vertically Opposite Angles**:
- In this case, angle 1 is opposite to angle 3, and angle 2 is opposite to angle 4.
- Thus, angle 1 and angle 3 are vertically opposite, as well as angle 2 and angle 4.

3. **Analyzing the Options**:
- **Option A: Supplementary Angles** - Supplementary angles are two angles whose sum is 180 degrees. Since angle 1 and angle 2 are not guaranteed to sum to 180 degrees, this option is incorrect.
- **Option B: Complementary Angles** - Complementary angles are two angles whose sum is 90 degrees. Again, since we cannot guarantee that angle 1 and angle 2 will sum to 90 degrees, this option is also incorrect.
- **Option C: Adjacent Angles** - Adjacent angles share a common vertex and a side. While angle 1 and angle 2 are adjacent, this does not apply to all pairs of vertically opposite angles, so this option is incorrect.
- **Option D: Equal Angles** - Vertically opposite angles are always equal to each other. Therefore, angle 1 = angle 3 and angle 2 = angle 4.

4. **Conclusion**:
- The correct answer is **Option D: Equal**. Vertically opposite angles are always equal.

### Final Answer:
Vertically opposite angles are always equal.

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