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Harmony · Side view · Facial Profile

Z Angle

The angle between a chin-to-upper-lip line and the Frankfort reference direction.

What is measured

The calculation

Angle between pogonion–upper-lip and porion–orbitale directions

Side view / Measurement guide

Z Angle: side-view measurement illustrationAn original schematic showing A: Frankfort direction; B: Upper-lip–chin line. Lines identify the landmarks used; the drawing is not to scale.AB

Follow the measurement

Select a label to focus on its line. Select again to show all measurements.

Schematic illustration, not to scale. Lines show the measurement construction; this is not an ideal face or a scored result.

In these guides, nasion means the nasal root, subnasale the nose base, and pogonion the most forward chin point. Frankfort refers to the direction from the ear-opening landmark to the lower orbital landmark.

Why it matters

It connects lip projection with chin position relative to a head reference. Moving either the upper lip or chin changes the line, so the result represents their relationship.

  • A smaller angle means the two measured directions are closer together.
  • A larger angle means they diverge more; inspect the lip and chin together.

Where the idea comes from

FaceIQ adaptation

Merrifield introduced the profile-line approach in 1966. The clinical Z-angle uses a line tangent to the chin and the most protrusive lip; FaceIQ specifically uses the upper-lip landmark. [1]

A worked example

A lip–chin line inclined 80° to the Frankfort direction produces an 80° result. A head-reference error can change the comparison.

Example values explain the calculation. They are not a target range and are not measurements of the schematic above.

Research & further reading

The sources below explain the history or related evidence. FaceIQ’s score weights and reference ranges are model settings; these papers do not collectively validate the scoring system.

  1. [1] Merrifield · 1966

    The profile line as an aid in critically evaluating facial esthetics

    Historical source for the profile line and Z-angle. FaceIQ uses an upper-lip landmark for its photographic version.

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