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Miter Angle Calculator

Find the miter saw angle for any regular polygon — picture frames, boxes, hexagons, and more.

Interior angle
Miter angle (set saw to)
Complementary (90° − miter)
🛒 Shop related: Hardwood lumber · Hand tools · Clamps
For a regular polygon: interior angle = (n − 2) × 180° ÷ n. Miter angle = 180° ÷ n, which is half the exterior angle. Set your miter saw to this angle from the fence.

Common Miter Angles

ShapeSidesInterior°Miter°
Triangle360.0°60.0°
Square / Rectangle490.0°45.0°
Pentagon5108.0°36.0°
Hexagon6120.0°30.0°
Octagon8135.0°22.5°
Decagon10144.0°18.0°
Dodecagon12150.0°15.0°

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How to Calculate Miter Angles

A miter joint connects two pieces at an angle. For a regular polygon (all sides equal), the miter angle is simply 180 divided by the number of sides. A square frame has 4 sides, so the miter angle is 180 ÷ 4 = 45 degrees.

For non-square corners (like a bay window or custom frame), you can enter the corner angle directly. The miter angle is half the supplement of the corner angle: miter = (180 − corner angle) ÷ 2.

On most miter saws, the angle scale reads from 0° (straight cut) to 45° or beyond. The "miter angle" result from this calculator is the angle to set on your saw fence.