diff --git a/third_party/agg23/agg_math_stroke.h b/third_party/agg23/agg_math_stroke.h
index 8515d2b16..70d1f2cf9 100644
--- a/third_party/agg23/agg_math_stroke.h
+++ b/third_party/agg23/agg_math_stroke.h
@@ -173,6 +173,9 @@ void stroke_calc_cap(VertexConsumer& out_vertices,
       float a1 = atan2(dy1, -dx1);
       float a2 = a1 + FXSYS_PI;
       float da = acos(width / (width + ((1.0f / 8) / approximation_scale))) * 2;
+      if (da < stroke_theta) {
+        da = stroke_theta;
+      }
       out_vertices.add(coord_type(v0.x - dx1, v0.y + dy1));
       a1 += da;
       a2 -= da / 4;
@@ -180,8 +183,8 @@ void stroke_calc_cap(VertexConsumer& out_vertices,
         out_vertices.add(
             coord_type(v0.x + (width * cos(a1)), v0.y + (width * sin(a1))));
         a1 += da;
-        }
-        out_vertices.add(coord_type(v0.x + dx1, v0.y - dy1));
+      }
+      out_vertices.add(coord_type(v0.x + dx1, v0.y - dy1));
     }
 }
 template<class VertexConsumer>