Gonial Angle Calculator

Measure three distances on a side-profile photo and get your mandibular angle in degrees, solved with the law of cosines.

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Same unit for all three (mm or pixels) — the proportions set the angle.

Enter all three distances to compute your gonial angle.

What is the gonial angle?

The gonial angle (also called the mandibular angle) is the angle formed at the gonion where the ramus of the jaw meets the body of the mandible. It directly controls how sharp the jaw corner looks in profile: a smaller angle is squarer and sharper, a larger one is rounder and softer. It is the single most important skeletal driver of how a jawline reads.

How to measure the three distances from a photo

Take a true 90° side profile (camera at ear level, head not tilted). Locate three points: the top of the ramus just in front of the ear, the gonion (the outermost corner at the back-bottom of the jaw), and the front-most bottom point of the chin. Then measure the ramus side from the top point to the gonion, the body side from the gonion to the chin, and the closing side as a straight line from the top point to the chin. Use the same unit for all three.

Normal and ideal ranges

In adults the gonial angle usually falls between 110° and 135°. The commonly cited ideal is 110°–120° for men and 120°–130° for women. Under 105° is distinctly square and over 140° distinctly round. Note that photo-based measurement carries roughly ±5° of error from head angle and perspective — a lateral cephalogram X-ray is the accurate method.

Can the gonial angle be changed?

The bony angle itself only changes with surgery — angle-reduction osteotomy softens a very square jaw, implants add definition to a round one. What non-surgical routes change is the soft tissue over the bone: losing fat reveals the corner you already have, masseter botox narrows an over-wide jaw, and jaw filler builds a sharper apparent corner on an obtuse angle. Chewing gum grows the masseter, which usually makes a jaw wider rather than sharper.