Draw an angle of measure `147 ^(@)` and construct its bisector.

Answer

To solve the problem of drawing an angle of measure 147 degrees and constructing its bisector, follow these steps:

### Step-by-Step Solution:

1. **Draw a Base Line:**
- Start by drawing a straight horizontal line using a ruler. Label the endpoints of this line as point O.

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

2. **Mark the Vertex:**
- Choose a point on the line to be the vertex of the angle. Let’s label this point O.

**Hint:** The vertex is where the two rays of the angle will meet.

3. **Use a Protractor:**
- Place the protractor on point O such that the baseline of the protractor aligns with the line you drew. Make sure the center hole of the protractor is exactly on point O.

**Hint:** Ensure the protractor is positioned correctly to measure the angle accurately.

4. **Measure 147 Degrees:**
- From the baseline, count 147 degrees on the protractor. Mark this point on the paper. Let’s label this point as A.

**Hint:** Always read the correct scale on the protractor (inner or outer) depending on the direction you are measuring.

5. **Draw the Angle:**
- Draw a straight line from point O to point A. This line OA represents one side of the angle.

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

6. **Construct the Angle Bisector:**
- To bisect the angle, you need to find the midpoint of the angle. To do this, place the compass pointer on point O and draw an arc that intersects both sides of the angle (OA and OB, where B is the other side of the angle).

**Hint:** The arc should be drawn lightly so that it does not interfere with the final drawing.

7. **Mark the Intersection Points:**
- Label the points where the arc intersects the sides of the angle as points C and D.

**Hint:** Ensure that the intersections are clear and marked properly.

8. **Draw the Bisector:**
- Now, use a ruler to draw a straight line from point O to the intersection of points C and D. This line is the bisector of the angle.

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

### Final Result:
You have successfully drawn an angle of 147 degrees and constructed its bisector.