Angular web components can be implemented with routing by following these steps: 1) Create the web component using Angular's @Component decorator. This will define the component's template, styles, and any input or output properties. 2) Define the routes for the web component using the Routes array in the component's module. Each route should include a path and a component.

import { NgModule } from '@angular/core';
import { Routes, RouterModule } from '@angular/router';
import { MyWebComponent } from './my-web-component.component';

const routes: Routes = [
  { path: 'my-component', component: MyWebComponent }
];

@NgModule({
  imports: [RouterModule.forChild(routes)],
  exports: [RouterModule]
})
export class MyWebComponentRoutingModule { }

3) Import the RouterModule and MyWebComponentRoutingModule modules into the component's module and add them to the imports array.
import { NgModule } from '@angular/core';
import { CommonModule } from '@angular/common';
import { RouterModule } from '@angular/router';
import { MyWebComponent } from './my-web-component.component';
import { MyWebComponentRoutingModule } from './my-web-component-routing.module';

@NgModule({
  declarations: [MyWebComponent],
  imports: [
    CommonModule,
    RouterModule,
    MyWebComponentRoutingModule
  ],
  exports: [MyWebComponent]
})
export class MyWebComponentModule { }

4) Use the router-outlet directive in the web component's template to display the routed components.

<router-outlet></router-outlet>

5) Use the routerLink directive in other components or templates to navigate to the web component's route.

<a routerLink="/my-component">My Web Component</a>

6) Build and serve the application to see the web component with routing in action. By following these steps, developers can create web components with routing using Angular. The routerLink directive can be used to navigate to the web component's route, and the router-outlet directive can be used to display routed components within the web component.