This is too little code to give more than a guessed answer.
I usually use this approach:
<img ng-if"emailId.privacy_type=='a'" class="permission"
ng-src="assets/images/profile-ima.jpg"
editable-select="emailId.privacy_type"
e-form="rowform"
e-name="privacy_type"
e-ng-options="q.privacy_id as q.privacy_type for q in privacyTypes">
</img>
<img ng-if"emailId.privacy_type=='b'" class="permission"
ng-src="assets/images/profile-imb.jpg"
editable-select="emailId.privacy_type"
e-form="rowform"
e-name="privacy_type"
e-ng-options="q.privacy_id as q.privacy_type for q in privacyTypes">
</img>
and so forth ...
A better way would be to name you images so that they match the privacy type partially:
<img class="permission"
ng-src="assets/images/profile-im{{emailId.privacy_type}}.jpg"
editable-select="emailId.privacy_type"
e-form="rowform"
e-name="privacy_type"
e-ng-options="q.privacy_id as q.privacy_type for q in privacyTypes">
</img>
So:
when privacy_type= 'a' ng-src will be profile-ima.jpg
when privacy_type= 'b' ng-src will be profile-imb.jpg
But thats just guesswork, since i don't know your data.