you can try this without any java script you can do that just by using CSS
img:active,
img:focus,
img:hover{
border: 10px solid red !important
}
of if your case is to add any other css class by clicking you can use query selector like
<img id="image1" ng-click="changeClass(id)" >
<img id="image2" ng-click="changeClass(id)" >
<img id="image3" ng-click="changeClass(id)" >
<img id="image3" ng-click="changeClass(id)" >
in controller first search for any image with red border and remove it then by passing the image id add the border class to that image
$scope.changeClass = function(id){
angular.element(document.querySelector('.some-class').removeClass('.some-class');
angular.element(document.querySelector(id)).addClass('.some-class');
}