Gire el icono en CSS haga clic en CSS

/*it would be easier to do this with CSS transitions:*/

/* CSS */
.rotate{
    -moz-transition: all 2s linear;
    -webkit-transition: all 2s linear;
    transition: all 2s linear;
}

.rotate.down{
    -ms-transform: rotate(180deg);
    -moz-transform: rotate(180deg);
    -webkit-transform: rotate(180deg);
    transform: rotate(180deg);
}

/*jQuery*/

$(".rotate").click(function(){
    $(this).toggleClass("down"); 
});
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