diff --git a/lib/matplotlib/_mathtext.py b/lib/matplotlib/_mathtext.py
index 5b4e8ed20db3..510f66dffd27 100644
--- a/lib/matplotlib/_mathtext.py
+++ b/lib/matplotlib/_mathtext.py
@@ -418,10 +418,10 @@ def _get_glyph(self, fontname, font_class, sym):
                         ('ex', '\xbb'), ('ex', '\x26')],
         r'\rceil':     [('ex', '\xa8'), ('ex', '\x6d'),
                         ('ex', '\xbc'), ('ex', '\x27')],
-        r'\langle':    [('ex', '\xad'), ('ex', '\x44'),
-                        ('ex', '\xbf'), ('ex', '\x2a')],
-        r'\rangle':    [('ex', '\xae'), ('ex', '\x45'),
-                        ('ex', '\xc0'), ('ex', '\x2b')],
+        r'\langle':    [('ex', '\xad'), ('ex', '\x2a'),
+                        ('ex', '\xbf'), ('ex', '\x44')],
+        r'\rangle':    [('ex', '\xae'), ('ex', '\x2b'),
+                        ('ex', '\xc0'), ('ex', '\x45')],
         r'\__sqrt__':  [('ex', '\x70'), ('ex', '\x71'),
                         ('ex', '\x72'), ('ex', '\x73')],
         r'\backslash': [('ex', '\xb2'), ('ex', '\x2f'),
@@ -432,8 +432,8 @@ def _get_glyph(self, fontname, font_class, sym):
                         ('ex', '\x64')],
         r'\widetilde': [('rm', '\x7e'), ('ex', '\x65'), ('ex', '\x66'),
                         ('ex', '\x67')],
-        r'<':          [('cal', 'h'), ('ex', 'D')],
-        r'>':          [('cal', 'i'), ('ex', 'E')]
+        r'<':          [('ex', '\x44')],
+        r'>':          [('ex', '\x45')]
         }
 
     for alias, target in [(r'\leftparen', '('),
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/math_angle_brackets.png b/lib/matplotlib/tests/baseline_images/test_mathtext/math_angle_brackets.png
new file mode 100644
index 000000000000..b77f26d0f40b
Binary files /dev/null and b/lib/matplotlib/tests/baseline_images/test_mathtext/math_angle_brackets.png differ
diff --git a/lib/matplotlib/tests/test_mathtext.py b/lib/matplotlib/tests/test_mathtext.py
index 5a9e8a8b9264..26775feb2f96 100644
--- a/lib/matplotlib/tests/test_mathtext.py
+++ b/lib/matplotlib/tests/test_mathtext.py
@@ -557,3 +557,17 @@ def test_mathtext_operators():
 def test_boldsymbol(fig_test, fig_ref):
     fig_test.text(0.1, 0.2, r"$\boldsymbol{\mathrm{abc0123\alpha}}$")
     fig_ref.text(0.1, 0.2, r"$\mathrm{abc0123\alpha}$")
+
+
+@image_comparison(baseline_images=['math_angle_brackets.png'])
+def test_math_angle_brackets():
+    fig = plt.figure(figsize=(5, 1))
+    tests = [
+            r'$\left< x \right>$',
+            r'$\left< ? \right>$',
+            r'$\left\langle \frac{1}{2}\right\rangle$',
+            r'$\left\langle \frac{\sum_{0}^{1}}{2}\right\rangle$',
+            r'$\left<\frac{\sum_{0}^{1}}{\sum_{0}^{1}}\right>$'
+            ]
+    for idx, text in enumerate(tests):
+        fig.text((idx + 0.3)/len(tests), 0.5, text, math_fontfamily='cm')