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To solve this, we need to determine which angle is supplementary to \(\angle 3\).

### Supplementary Angles:
Two angles are supplementary if their sum equals 180 degrees.

Looking at the diagram, \(\angle 3\) and \(\angle 5\) appear to be adjacent angles forming a straight line. Since they form a straight line, their measures sum to 180°, meaning \(\angle 5\) is supplementary to \(\angle 3\).

The correct answer is **\(\angle 5\)**, which corresponds to **\(\angle 6\)** in the given answer options.

Would you like more details, or have any questions?

Here are some follow-up questions to deepen your understanding:

1. What does it mean for two angles to be adjacent?
2. How can we identify complementary angles in a similar diagram?
3. Can vertical angles ever be supplementary?
4. How would you find angles in a transversal situation with parallel lines?
5. What is the relationship between opposite angles formed by two intersecting lines?

**Tip:** When solving for supplementary angles, always look for pairs of angles that form a straight line!

This math problem helps students identify supplementary angles in a diagram with intersecting lines. It teaches the concept of supplementary angles, adjacent angles, and angle relationships, suitable for Grade 8 learners.

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