JavaScript: Check if all open HTML tags are closed

The code below finds all opening and closing HTML tags.  I want to check if all tags which are opened are correctly closed.
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<title>Demo</title>

<script type="text/javascript">
/*<![CDATA[*/

function checkTags(v) {
 return(v.match(/(<+[^>]*?>)/g));
}

alert( checkTags('<div><h1>Hello <strong>World</strong></h1></div>')); // Should return true because all open tags are closed

alert( checkTags('<div><h1>Hello <strong>World</trsong></h1></div>')); // Should return false because not all open tags are correctly closed

/*]]>*/
</script>

</head>
<body>

<h1>I want to check and make sure that all open tags are closed.</h1>
<h2>The function should return true if all open tags are closed and false if not all open tags are closed.</h2>

</body>
</html>

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LVL 16
hankknightAsked:
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AmickConnect With a Mentor Commented:
Increment when you see opening tags
decrement when you see matching closing tags
if opening tags accumulator - closing tag accumulator should = 0 return true, else false.
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