Question

how many types of synthetic fibres are there

Answer 1

rayon, nylon and acrylic

Answer 2

hey mate here is ur answer
with technologies advances ,fibers are now also made from chemical substances these are called synthetic fibres
Specialty synthetic fibers include:

Rayon (1894) artificial silk.

Vinyon (1939)

Saran (1941)

Spandex (1959)

Vinalon (1939)

Aramids (1961) - known as Nomex, Kevlar and Twaron.

Modal (1960's)

Dyneema/Spectra (1979)