Construct a triangle ABC in which AB = 6 cm, ∠A = 30° and ∠B = 60°. Construct another triangle AB'C' similar to triangle ABC with base AB' = 8 cm.

Steps:

1. Draw a line AB of length 6 cm.
2. Make an angle of 30° at A and extend the line from A making this angle.
3. Make an angle of 60° at B and extend the line from B making this angle till it meets the line from step 2 at point C. Hence, we got the triangle ABC.
   Now,
4. Extend the line AB to B', such that AB' = 8 cm.
5. Make an angle of 60° at B' and extend the line from B' making this angle till it meets the line from step 2 at point C'. Hence, we got the triangle AB'C'.