diff --git a/crates/engine/src/cmd/draw.rs b/crates/engine/src/cmd/draw.rs
index 953ad4c..9b90f8c 100644
--- a/crates/engine/src/cmd/draw.rs
+++ b/crates/engine/src/cmd/draw.rs
@@ -822,7 +822,10 @@ impl Interactive for EllipseM {
                     ge.param_of(p)
                 }
                 Input::Text(t) => {
-                    crate::units::parse_angle(&t).ok_or_else(|| crate::EngineError::Other("Requires an angle.".into()))? + e.major.angle()
+                    // A typed angle is a true angle from the major axis; convert it to an ellipse parameter like a picked point.
+                    let a = crate::units::parse_angle(&t).ok_or_else(|| crate::EngineError::Other("Requires an angle.".into()))?;
+                    let ge = Ellipse { start: 0.0, end: cadcraft_geom::TAU, ..e };
+                    ge.param_of(e.center + Vec2::from_angle(a + e.major.angle()))
                 }
                 _ => return Ok(Step::Continue),
             };
diff --git a/crates/engine/src/cmd/draw2_tests.rs b/crates/engine/src/cmd/draw2_tests.rs
index 75c6fd9..723dd64 100644
--- a/crates/engine/src/cmd/draw2_tests.rs
+++ b/crates/engine/src/cmd/draw2_tests.rs
@@ -237,6 +237,17 @@ fn ellipse_axis_and_arc() {
     assert!(matches!(last(&s), EntityKind::Ellipse(e) if (e.end - e.start).abs() > 0.1 && (e.end - e.start).abs() < 6.0));
 }
 
+#[test]
+fn ellipse_arc_typed_angles_are_true_angles() {
+    let want = 2f64.atan2(1.0);
+    // Horizontal and rotated major axis, ratio 0.5: typed 0 and 45 degrees match the JSON form.
+    for line in ["ellipse.arc 0,0 10,0 2.5 0 45", "ellipse.arc 5,-5 5,5 2.5 0 45"] {
+        let mut s = Session::new();
+        s.cmdline(line).unwrap();
+        assert!(matches!(last(&s), EntityKind::Ellipse(e) if e.start.abs() < 1e-9 && (e.end - want).abs() < 1e-9), "{line}");
+    }
+}
+
 // ---------------- DIVIDE / MEASURE ----------------
 
 #[test]