Step 1: Identifying the Polymer:
The description "unbreakable cups and laminated sheets" is characteristic of Urea-Formaldehyde Resin. It is a thermosetting polymer.
Step 2: Identifying Monomers:
- Urea-Formaldehyde Resin: Monomers are Urea (\( \text{NH}_2\text{CONH}_2 \)) and Formaldehyde (\( \text{HCHO} \)).
- Glyptal: Monomers are Ethylene glycol and Phthalic acid (used in paints).
- Bakelite: Monomers are Phenol and Formaldehyde (used for switches, handles - hard but brittle, not typically called "unbreakable cups" in the same context as melamine/urea wares).
- Buna-S: Monomers are Butadiene and Styrene (Synthetic Rubber).
Step 3: Conclusion:
The polymer 'X' is Urea-Formaldehyde resin.
Step 4: Final Answer:
The monomers are Urea and formaldehyde.