Add a transform value to the current transforms that are already on the element?

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You could use the += operator to append the rotateX(20deg) to the already existing transformation.

el.style.webkitTransform += "rotateX(20deg)";

Note: I have used a different transformation in the below snippet for the visual effect but method is the same.

window.onload = function() {
  var el = document.getElementsByTagName("div")[0];
  el.style.webkitTransform += "rotateZ(20deg)";
  console.log(el.style.webkitTransform);
  document.getElementById("changeDeg").onclick = changeDeg; //event handler
}

function changeDeg() {
  var el = document.getElementsByTagName("div")[0];
  var re = /(rotateZ)(\(.*(?:deg\)))/g; //regex to match rotateZ(...deg)
  var newDeg = 40;
  if (el.style.webkitTransform.match(re).length != -1) {
    el.style.webkitTransform = el.style.webkitTransform.replace(re, '$1(' + newDeg + 'deg)'); // $1 is first capturing group which is "rotateZ"
  }
  console.log(el.style.webkitTransform);
}
div {
  background: red;
  margin-bottom: 20px;
}
<div class="display-object child0" style="-webkit-transform: translateX(43.5px) translateY(6px); width: 50px; height: 50px;"></div>
<button id="changeDeg">Change Rotation</button>

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