That s the way it is normally done.
Storm door handle placement.
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Now hinging is either left or right and is simply determined by the side you want the storm door hinges to be on.
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This is the most difficult situation you re likely to encounter.
Now a good rule of thumb is that you want the handle of the screen door to be on the same side as the entry door.
Prime line k 5007 screen and storm door push button latch set with night lock replace old or damaged screen or storm door handles quickly and easily black finish fits doors 5 8 1 1 4 thick 4 2 out of 5 stars 1 689.
See the picture for a visual reference.