Make a line segment AB of length 8 cm. Taking A as centre and radius 5 cm, draw a circle. With B as centre and radius 6 cm, draw another circle. Mark the two points at which the two circles intersect as C and D. Join CD. Find the angle between AB and CD with the help of a protractor.

Answer

### Step-by-Step Solution:

**Step 1: Draw Line Segment AB**
1. Use a ruler to measure and draw a line segment AB that is 8 cm long.
2. Label the endpoints as A and B.

**Step 2: Draw Circle with Center A**
1. Place the compass pointer on point A.
2. Adjust the compass to a radius of 5 cm.
3. Draw a circle with center A. This circle will intersect with another circle later.

**Step 3: Draw Circle with Center B**
1. Move the compass pointer to point B.
2. Adjust the compass to a radius of 6 cm.
3. Draw a circle with center B. This circle will intersect with the first circle.

**Step 4: Mark Points of Intersection**
1. Identify the points where the two circles intersect.
2. Label these intersection points as C and D.

**Step 5: Join Points C and D**
1. Use a ruler to draw a straight line segment connecting points C and D.

**Step 6: Measure the Angle between AB and CD**
1. Place the protractor such that the center hole is at point A and one side of the protractor aligns with line segment AB.
2. Find the angle formed between line segment AB and line segment CD.
3. Read the measurement on the protractor to determine the angle.

### Final Result:
The angle between line segment AB and line segment CD is found to be 90 degrees.

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