If you have separated files for angular app\resources\directives and other stuff then you can just disable minification of your angular app bundle like this (use new Bundle() instead of ScriptBundle() in your bundle config file):
bundles.Add(
new Bundle("~/bundles/angular/SomeBundleName").Include(
"~/Content/js/angular/Pages/Web/MainPage/angularApi.js",
"~/Content/js/angular/Pages/Web/MainPage/angularApp.js",
"~/Content/js/angular/Pages/Web/MainPage/angularCtrl.js"));
And angular app would appear in bundle unmodified.