SSL (Secure Socket Layer). windows Webbroswers ( Chrome, Mozilla, Edge, explorer ) are using which winapi set to Encrypt and Decrypt Data. SSL is asymmetric encryption. So which Api set is being used to decrypt receavied chipher.
SSL/TLS is a secure protocol that encorporates the negotiation of cryptographic parameters for asymmetric and symmetric algorithms, integrity algorithms, and verification algorithms. You can read more about this on How does TLS work? You can find more information on the cipher suites used for negotiations in this answer. The same API used for SSL/TLS is generally used for symmetric decryption/encryption.
Chrome used to use a version of NSS, and originally stated that they would switch to OpenSSL. However, in the wake of various implementation vulnerabilities Google has decided to make their own clean version of OpenSSL called BoringSSL.
Internet Explorer is tied directly into Windows SChannel (Secure Channel) which is run and handled by Windows' LSASS process. It would surprise me if Windows Edge didn't use this as well. It uses WinHTTP, and is only available (for now) on Microsoft Windows platforms.