No need to code anything, angular has done this with the existing built-in limitTo filter. Just use a negative limit. From the docs for the limit argument:
The length of the returned array or string. If the limit number is
positive, limit number of items from the beginning of the source
array/string are copied. If the number is negative, limit number of
items from the end of the source array/string are copied. The limit
will be trimmed if it exceeds array.length. If limit is undefined, the
input will be returned unchanged.
So you would use it like so in the template:
<ul>
<li data-ng-repeat="i in list | limitTo: (offset - list.length)">{{i}}</li>
</ul>
where offset is your start index. See sample plunker.
There is an optional begin argument so you don’t need use a negative limit but the begin was not available before angular v1.4 so I have stuck to a negative limit in my example.