AB is a straight line and O is a point on AB, if a line OC is drawn not coinciding with OA or OB, then `angle AOC` and `angle BOC` are

Options

A. equal
B. complementary
C. supplementary
D. together equal to 100

Answer

To solve the problem, we need to analyze the angles formed by the lines and points given in the question.

### Step-by-Step Solution:

1. **Identify the Points and Lines**:
- We have a straight line AB.
- Point O is on line AB.
- Line OC is drawn such that it does not coincide with lines OA or OB.

2. **Understanding the Angles**:
- Since O is a point on the line AB, we can denote the angles formed by the lines as follows:
- Angle AOC is formed between line OA and line OC.
- Angle BOC is formed between line OB and line OC.

3. **Analyzing the Angles**:
- Since OC does not coincide with OA or OB, angles AOC and BOC are formed by the intersection of line OC with the lines OA and OB.
- The sum of angles around point O is 360 degrees.

4. **Relationship Between Angles**:
- The angles AOC and BOC are adjacent angles formed by the intersecting lines.
- Therefore, we can express the relationship between these angles:
- Angle AOC + Angle BOC + Angle AOB = 360 degrees.
- Since angle AOB is a straight line, it measures 180 degrees.

5. **Final Relationship**:
- Thus, we can conclude:
- Angle AOC + Angle BOC = 180 degrees.

### Conclusion:
- Therefore, angles AOC and BOC are supplementary angles.