ssrs report in webapi /angular

You can add a wcf service in the solution which was consuming webapi. It can solve the purpose to pass parameters to the webapi.

You need to add the client  web service reference to your web API project and consume this service.
https://docs.microsoft.com/en-us/sql/reporting-services/report-server-web-service/net-framework/building-applications-using-the-web-service-and-the-net-framework?view=sql-server-2016
A simple wrapper is shown here:
https://www.codeproject.com/Articles/1110411/How-to-Write-a-Csharp-Wrapper-Class-for-the-SSRS-R

From experience run a report with NO parameters first, then build one with simple interger parameters and then date parameters if needed.

If you are using the latest SQl server (2017), there is a REST API with samples on how to consume it at:
https://docs.microsoft.com/en-us/sql/reporting-services/developer/rest-api?view=sql-server-2017

You can use the link above as a guide to build a similar API.