Draw `angle POQ` of measure `75^(@)` and find its line of symmetry.

Answer

### Step-by-Step Solution:

1. **Draw a Base Line:**
- Start by drawing a straight horizontal line. This will serve as the base for constructing the angle POQ.

**Hint:** Use a ruler to ensure the line is straight.

2. **Identify the Vertex:**
- Mark a point on the line. This point will be the vertex of the angle, which we will label as point O.

**Hint:** Label the point clearly so you can refer to it later.

3. **Construct the Angle:**
- Using a protractor, place the center point of the protractor at point O. Make sure the baseline of the protractor aligns with the line you drew.
- Measure 75 degrees from the baseline and make a small mark on the paper. This mark will help you draw the second line of the angle.

**Hint:** Ensure the protractor is positioned correctly to get an accurate measurement.

4. **Draw the Angle Lines:**
- From point O, draw a line through the mark you made at 75 degrees. Label the end of this line as point P.
- Now, draw another line from point O back to the baseline. Label the end of this line as point Q.

**Hint:** Make sure the angle between lines OP and OQ is exactly 75 degrees.

5. **Finding the Line of Symmetry:**
- To find the line of symmetry, you need to bisect the angle POQ.
- Use a compass to draw an arc that intersects both lines OP and OQ. Label the points where the arc intersects as A and B.

**Hint:** The arc should be drawn with the compass set to a reasonable width to ensure it intersects both lines.

6. **Draw the Bisector:**
- Now, without changing the compass width, place the compass pointer on point A and draw an arc above and below the angle. Repeat this step with the compass pointer on point B.
- Label the points where these arcs intersect as C and D.
- Draw a straight line connecting points O and the intersection point of the arcs (C or D). This line is the angle bisector.

**Hint:** The angle bisector divides the angle into two equal parts.

7. **Label the Line of Symmetry:**
- The line you just drew is the line of symmetry for angle POQ. Label this line as OR.

**Hint:** The line of symmetry means that if you fold the angle along this line, both sides will match perfectly.

### Summary:
- You have successfully drawn angle POQ of 75 degrees and found its line of symmetry, which is line OR.