diff --git a/markdown/extensions/smarty.py b/markdown/extensions/smarty.py
index 223f2adc4..600d74cd6 100644
--- a/markdown/extensions/smarty.py
+++ b/markdown/extensions/smarty.py
@@ -83,7 +83,7 @@
 
 from __future__ import unicode_literals
 from . import Extension
-from ..inlinepatterns import HtmlPattern
+from ..inlinepatterns import HtmlPattern, HTML_RE
 from ..odict import OrderedDict
 from ..treeprocessors import InlineProcessor
 
@@ -147,6 +147,8 @@
 remainingSingleQuotesRegex = "'"
 remainingDoubleQuotesRegex = '"'
 
+HTML_STRICT_RE = HTML_RE + r'(?!\>)'
+
 
 class SubstituteTextPattern(HtmlPattern):
     def __init__(self, pattern, replace, markdown_instance):
@@ -211,10 +213,10 @@ def educateAngledQuotes(self, md):
         rightAngledQuotePattern = SubstituteTextPattern(
             r'\>\>', (self.substitutions['right-angle-quote'],), md
         )
-        self.angledQuotesPatterns.add(
+        self.inlinePatterns.add(
             'smarty-left-angle-quotes', leftAngledQuotePattern, '_begin'
         )
-        self.angledQuotesPatterns.add(
+        self.inlinePatterns.add(
             'smarty-right-angle-quotes',
             rightAngledQuotePattern,
             '>smarty-left-angle-quotes'
@@ -249,18 +251,17 @@ def extendMarkdown(self, md, md_globals):
             self.educateEllipses(md)
         if configs['smart_quotes']:
             self.educateQuotes(md)
+        if configs['smart_angled_quotes']:
+            self.educateAngledQuotes(md)
+            # Override HTML_RE from inlinepatterns.py so that it does not
+            # process tags with duplicate closing quotes.
+            md.inlinePatterns["html"] = HtmlPattern(HTML_STRICT_RE, md)
         if configs['smart_dashes']:
             self.educateDashes(md)
         inlineProcessor = InlineProcessor(md)
         inlineProcessor.inlinePatterns = self.inlinePatterns
         md.treeprocessors.add('smarty', inlineProcessor, '_end')
         md.ESCAPED_CHARS.extend(['"', "'"])
-        if configs['smart_angled_quotes']:
-            self.angledQuotesPatterns = OrderedDict()
-            self.educateAngledQuotes(md)
-            angledQuotesProcessor = InlineProcessor(md)
-            angledQuotesProcessor.inlinePatterns = self.angledQuotesPatterns
-            md.treeprocessors.add('smarty-angledquotes', angledQuotesProcessor, '<inline')
 
 
 def makeExtension(*args, **kwargs):
diff --git a/tests/basic/inline-html-simple.html b/tests/basic/inline-html-simple.html
index 2159e1dcb..0f2633cfe 100644
--- a/tests/basic/inline-html-simple.html
+++ b/tests/basic/inline-html-simple.html
@@ -57,4 +57,5 @@
 
 <hr class="foo" id="bar" >
 
-<p><some <a href="http://example.com">weird</a> stuff></p>
\ No newline at end of file
+<p><some <a href="http://example.com">weird</a> stuff></p>
+<p><some>&gt; &lt;<unbalanced>&gt; &lt;<brackets></p>
\ No newline at end of file
diff --git a/tests/basic/inline-html-simple.txt b/tests/basic/inline-html-simple.txt
index 7210750d8..359aca4e5 100644
--- a/tests/basic/inline-html-simple.txt
+++ b/tests/basic/inline-html-simple.txt
@@ -68,3 +68,5 @@ Hr's:
 <hr class="foo" id="bar" >
 
 <some [weird](http://example.com) stuff>
+
+<some>> <<unbalanced>> <<brackets>
\ No newline at end of file
diff --git a/tests/extensions/smarty.html b/tests/extensions/smarty.html
index a4ec1a05f..50cf77440 100644
--- a/tests/extensions/smarty.html
+++ b/tests/extensions/smarty.html
@@ -24,7 +24,7 @@
 Escaped ellipsis...</p>
 <p>&lsquo;Escaped "quotes" in real ones&rsquo;<br />
 '&ldquo;Real&rdquo; quotes in escaped ones'</p>
-<p>Skip <code>"code" -- --- 'spans' ...</code>.</p>
+<p>Skip <code>&lt;&lt;all&gt;&gt; "code" -- --- 'spans' ...</code>.</p>
 <pre><code>Also skip "code" 'blocks'
 foo -- bar --- baz ...
 </code></pre>
\ No newline at end of file
diff --git a/tests/extensions/smarty.txt b/tests/extensions/smarty.txt
index d7cba6a61..f2f4041b5 100644
--- a/tests/extensions/smarty.txt
+++ b/tests/extensions/smarty.txt
@@ -31,7 +31,7 @@ Escaped ellipsis\...
 'Escaped \"quotes\" in real ones'  
 \'"Real" quotes in escaped ones\'
 
-Skip `"code" -- --- 'spans' ...`.
+Skip `<<all>> "code" -- --- 'spans' ...`.
 
     Also skip "code" 'blocks'
 	foo -- bar --- baz ...