var app = angular.module('plunker', []);

app.controller('testController', function($scope) {
  
    //default states
    $scope.selectDays = ['Sun', 'Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat'];
    $scope.selectedList = {};
     
    /**
     * Action
     */
    $scope.submit = function () {
        angular.forEach($scope.selectedList, function (selected, day) {
            if (selected) {
              console.log(day);
            }
        });
    };
});
<!DOCTYPE html>
<html ng-app="plunker">

<head>
  <meta charset="utf-8" />
  <title>AngularJS Plunker</title>
  <script>
    document.write('<base href="' + document.location + '" />');
  </script>
  <link rel="stylesheet" href="style.css" />
  <script data-require="angular.js@1.4.x" src="https://code.angularjs.org/1.4.8/angular.js" data-semver="1.4.8"></script>
  <script src="app.js"></script>
</head>

<body ng-controller="testController">
  <span ng-repeat="day in selectDays">
    <input type="checkbox" id="{{day}}" ng-model="selectedList[day]"/>
    <label for="{{day}}">{{day}}</label>
  </span>
  <button ng-click="submit()">Submit</button>
  
  <h2>Selected</h2>
  <p>{{selectedList|json}}</p>
</body>
</html>
/* Put your css in here */