The nasofacial angle is the smaller angle between two side-profile lines. The facial plane runs from soft-tissue glabella to soft-tissue pogonion. The nasal dorsal line runs from soft-tissue nasion to pronasale. It is an angle in degrees, not a raw distance or ratio. With vectors u = Pog − G and v = Prn − N, the formula is θ = arccos(|u · v| / (||u|| × ||v||)). A photo gives a 2D soft-tissue estimate, not a skeletal or clinical measurement.
How the nasofacial angle is built
Use four points on the visible profile. Place them on the skin outline, not on guessed bone positions.
- Glabella (G) is the most forward midline point of the forehead above the nasal root.
- Soft-tissue pogonion (Pog) is the most forward point of the chin outline.
- Soft-tissue nasion (N) is the deepest dip between the forehead and nasal bridge.
- Pronasale (Prn) is the most forward point of the nose tip.
Draw G–Pog for the facial plane and N–Prn for the nasal dorsal line. Report the smaller angle where those lines would meet. Seo and colleagues used this construction in a 2022 Scientific Reports study of external nasal measurements.
The name isn't fully standardized. Kim and colleagues used Pg–N–Prn, with nasion as the vertex, in a 2024 Clinical and Experimental Otorhinolaryngology study. That is not the same construction as G–Pog against N–Prn. The two methods can give different numbers on the same profile. Record the landmarks beside any result, and compare only like with like.
| Measurement | Construction | What it describes |
|---|---|---|
| Nasofacial | G–Pog facial plane against N–Prn nasal dorsal line | Nasal bridge direction relative to the forehead-chin plane |
| Nasofrontal | G–N–Prn, with the vertex at N | The turn from forehead into nasal bridge. See the nasofrontal angle photo guide |
| Nasomental | N–Prn–Pog, with the vertex at Prn | The relation between nasal bridge and the nose-tip-to-chin line |
None of these measures the lower-jaw corner. The gonial angle guide covers that separate profile feature and explains why a photo can't reveal skeletal anatomy.
How to measure a side photo
Photo quality comes first. A precise formula can't rescue a three-quarter selfie or a hidden chin.
- Put the camera on a stable support at about midface height. Use a timer and move well beyond arm's length, then crop the image.
- Face exactly sideways with your mouth relaxed. Keep your head neutral, rather than lifting your chin or turning toward the lens.
- Mark G, Pog, N and Prn. If glasses or facial hair hide a landmark, remove the obstruction or don't measure that photo.
- Draw the two lines and calculate their smaller angle. Any basic angle tool can do this after you place the points.
- Start again on an unmarked copy. If the readings differ, keep the range instead of selecting the result you prefer.
Derakhshan and colleagues photographed 12 people at six distances with phone and full-frame cameras. Some midface measurements changed by 12% to 19% in short-distance setups. Their 2024 Laryngoscope study tested frontal dimensions, not this profile angle. It still shows why close selfies are poor measurement photos. Camera distance changes perspective. Cropping does not.
Rolling the finished image on screen won't change the angle if all four points rotate together. Yaw and pitch are different. They change the projected contour and can move the visible landmarks. A three-quarter view is not a side view.
Illustrative example: a three-pixel shift matters
Take a synthetic 300 × 300 pixel grid with its origin at the top left. Set G = (100, 40), Pog = (106, 240), N = (104, 80) and Prn = (160, 160). The vectors are u = (6, 200) and v = (56, 80). The formula returns 33.3°.
Now move only the Prn click three pixels right, to (163, 160). The result becomes 34.7°, a change of 1.4°. Nothing about the synthetic face changed. This isn't an estimate of typical error. It shows why a casual photo doesn't justify reporting tenths of a degree.
Why there is no universal target
Online charts often turn a descriptive measurement into an attractiveness score. The evidence doesn't support that jump.
In the Journal of Cranio-Maxillofacial Surgery in 2016, Naini and colleagues altered one synthetic white male profile. Then 75 pretreatment patients, 75 laypeople and 35 clinicians rated the versions. The study describes preferences for that constructed image among those raters. It cannot set a universal target across different faces or populations.
Seo and colleagues photographed and scanned 30 volunteers on two days. Two researchers measured four external nasal angles. The standardized 2D and 3D methods showed high repeatability. That supports repeatable measurement under their protocol. It doesn't validate an attractiveness rule, prove skeletal accuracy or promise the same result across casual photos.
The number also combines several features. Move the chin point in a drawing while leaving the nose fixed, and the facial plane rotates. The angle changes even though the nose does not. Use the face shape and facial proportions guide if you're trying to separate outline from individual measurements.
What styling can change
Styling can change the frame around a profile. It doesn't change this anatomical relationship, and it shouldn't be treated as a correction.
| Option | Visible effect | Measurement limit |
|---|---|---|
| Hair and brows | Can add or remove visual weight around the forehead and upper face | They don't move G, N, Prn or Pog |
| Beard | Can sharpen, lengthen or soften the visible chin outline | A beard can hide Pog, making the photo unsuitable for measurement |
| Glasses | Frames and bridge shape add lines near the nasal root | They don't change the angle and may hide N |
| Makeup | Light and shadow can change how bridge width or straightness reads | The effect changes with lighting, while the landmarks stay put |
Don't use this angle to justify striking your face, forceful pulling, nose clips or rigid chewing routines. The measurement provides no evidence that those trends work. The bone-smashing risk guide explains why deliberate impact is harm, not grooming.
One useful next step
If your real question is how your outline guides styling, use the free face-shape finder. It processes one photo on your device without an account or email. It estimates the visible outline, not bone anatomy, this angle or a required haircut.
Oscar Nascimento
Editorial writer, GlowUp Face
Oscar writes about evidence-based skin care, healthcare, looksmaxxing, and the social and economic research surrounding appearance.
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