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Beginner

Cut at an Angle

The Formula, the Methods, and the Test Cut

Learn to calculate any angle cut in woodworking — miter, bevel, or polygon. Three ways to find unknown angles. Miter saw, table saw, and circular saw setup included.

For: Beginner woodworkers building frames, boxes, or furniture who need to cut at angles that aren't 90°

25 min read25 sources14 reviewedUpdated Apr 12, 2026

Cut at an Angle at a Glance

When two pieces of wood meet at a corner, each gets cut at half the corner angle. For a 90° corner, set the saw to 45°. A miter cut angles the face of the board; a bevel cut angles the edge. Learn the formula, measure angles three different ways, and always test on scrap first.

Miter vs bevelMiter = face angle (blade vertical, work rotates) · Bevel = edge angle (blade tilts)
Core formulaSaw setting = (180° − desired corner angle) ÷ 2
90° cornerSet saw to 45°
Hexagon cornerSet saw to 30°
Octagon cornerSet saw to 22.5°
Polygon shortcutSaw setting = 180° ÷ number of sides

In this guide:

Click to expand
MITER vs BEVEL — TWO WAYS TO CUT AN ANGLE MITER — blade vertical, table rotates Angles the FACE of the board Saw table rotates · blade stays upright → box corners, frames, furniture joints BEVEL — blade tilts, work lies flat Angles the EDGE of the board Work stays flat · blade tilts → chamfers, decorative edges, angled brackets Formula: Saw setting = (180° − corner angle) ÷ 2 · 90° corner → 45° · Hexagon → 30° · Octagon → 22.5°
Miter cuts angle the face of the board with the blade upright — the saw table rotates. Bevel cuts angle the edge through the thickness — the blade tilts. Both use the same formula to calculate the saw setting.

Part 1: Miter, Bevel, and Compound Cuts Explained

Your miter saw has two angle adjustments: a knob that rotates the table and a lever that tilts the head. They do different things, and knowing which one to reach for saves a lot of confusion.

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THREE TYPES OF ANGLE CUTS MITER CUT BLADE STAYS VERTICAL Table rotates to set the angle Cut shows on the TOP FACE → Box corners · picture frames furniture joints BEVEL CUT BLADE TILTS Tilt lever sets the angle Cut shows on the EDGE → Chamfers · decorative edges angled shelf brackets COMPOUND CUT BOTH AT ONCE Table rotates + blade tilts Angle on face AND edge → Crown molding · angled box lids Use a compound miter calculator Quick rule: Face angle = MITER · Edge angle = BEVEL · Both at once = COMPOUND
Three cut types and where each angle appears on the board. Miter uses the table adjustment; bevel uses the tilt adjustment. Compound uses both — the math gets complex fast, and most beginners should get comfortable with miter and bevel separately first.

What a miter cut is

A miter cut angles the face of the board. The blade stays vertical. The work rotates on the saw table.

The result: an angled surface across the width of the board. For a 90° box corner, each piece gets a 45° miter. The cut hides the end grain and produces a clean corner.

The rotating table controls this. The dial reads in degrees from square: 0° means a straight 90° cross-cut, 45° means the work is rotated 45° from the fence.

What a bevel cut is

A bevel cut angles the edge of the board. The blade tilts. The work lies flat.

The result: an angled surface through the thickness of the board. Used for decorative edges on tabletops, chamfered (angled) furniture legs, angled shelf brackets, and parts of crown molding.

The tilt lever controls this. Most saws bevel 0° to 45° in one or both directions.

What a compound cut is

A compound cut uses both adjustments at once. The blade tilts and the work rotates simultaneously. This creates an angled surface on both the face and the edge in one pass.

Crown molding requires a compound cut. So do angled box lids and furniture legs that rake outward at a slope. The math involves both a miter angle and a bevel angle working together. For most beginners, that means using a calculator (covered in Part 5).

Quick rule: If the angle shows up on the face (top surface) of the board, that's miter. If it shows up on the edge (through the thickness), that's bevel.

Part 2: Calculating the Cutting Angle

You want a 90° corner. What do you set the saw to?

Not 90°. On a miter saw, 90° on the dial means 90° from the fence, which would make the blade nearly parallel to the work. You need 45°. Each piece gets cut at half the corner angle, because the two cuts together add up to the full corner.

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CALCULATING THE SAW SETTING THE CORNER GEOMETRY 90° corner SAW: 45° SAW: 45° Each piece cut at HALF the corner angle Both cuts together equal the full corner 45° + 45° = 90° · 30° + 30° = 60° THE FORMULA Saw setting = (180° − corner angle) ÷ 2 Example: 90° box corner (180° − 90°) ÷ 2 = 45° → set saw to 45° CORNER FORMULA SAW SETTING 90° box corner (180−90)÷2 45° 120° hexagon (180−120)÷2 30° 135° octagon (180−135)÷2 22.5° Any corner (180−angle)÷2 your setting Trap: "90° corner" does not mean set saw to 90°. Set it to 45°.
Each board gets cut at exactly half the corner angle — both cuts together add up to the full corner. The formula works for any corner angle. The most common beginner mistake: reading 90° and setting the saw to 90° instead of 45°.

The formula

Per Omni Calculator's miter angle reference, the saw dial setting for equal-width boards of the same material is:

Saw dial setting = (180° − desired corner angle) ÷ 2

For a 90° corner: (180 − 90) ÷ 2 = 45°

For a 120° corner (two hexagon pieces): (180 − 120) ÷ 2 = 30°

For a 60° acute corner: (180 − 60) ÷ 2 = 60°. Most miter saws top out around 45–52°. You'd need a table saw or a jig for that one.

Why the formula works

Press two 45° miter cuts together. The corner they form is 90°. The two cuts add up to the full corner angle, so each cut is exactly half. This holds for any corner angle.

The beginner trap: someone measures a corner with a protractor, reads "90°," and sets the saw to 90°. But 90° on the miter dial means 90° from square: a cut running nearly parallel to the fence. Half of 90° is 45°. That's the number you want.

Common angle reference

Want this cornerSet saw toWhere used
90° right angle45°Boxes, frames, furniture corners
120° corner30°Hexagon shapes
135° corner22.5°Octagon shapes
108° corner36°Pentagon shapes
Any angle(180° − angle) ÷ 2Universal formula

Polygon shortcuts

For any regular polygon (all sides equal, all angles equal), the saw setting follows one formula:

Miter saw setting = 180° ÷ number of sides
SidesSaw settingExample use
445°Boxes, frames
536°Pentagon shelf
630°Hex mirror, hex shelf
822.5°Octagon frame, octagon table
1018°Decorative polygon frames
1215°Circular decorative frames

Part 3: Three Methods to Find Any Angle

The formula works when you know the desired corner angle. But sometimes you don't. You're fitting trim in an out-of-square room, or matching an angle on an existing piece. Three methods cover every situation.

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THREE METHODS TO FIND ANY ANGLE METHOD 1: DIGITAL ANGLE FINDER 87.3° Place arms on both surfaces Read the full corner angle Apply formula to get saw setting Best for: precision setups and saw calibration · ~$15–40 METHOD 2: SLIDING BEVEL GAUGE Loosen thumbscrew Place handle on one surface Swing blade to second surface; lock Transfer to saw: align saw blade to gauge blade · ~$8–25 METHOD 3: SCRAP WOOD BISECT Press two scraps into corner Mark where they cross Draw line apex → crossing point Align saw blade to bisect line No tools needed · no math required
Three methods for unknown angles. The digital finder gives you a number; use the formula to find the saw setting. The bevel gauge copies the angle directly — no math. The scrap bisect works in any corner with no tools at all.

Method 1: Digital angle finder (~$15–40)

A protractor-style digital finder has two arms that pivot at a shared point. Open the arms, place one on each surface of the corner, and read the display.

  1. Place one arm flat on the left wall (or surface) of the corner.
  2. Swing the other arm flat against the right wall.
  3. Read the full corner angle (e.g., 87.3° for a wall that's slightly off square).
  4. Apply the formula: saw setting = (180° − 87.3°) ÷ 2 = 46.35°. Set saw to 46.5°.

Also use this to calibrate your saw. The 0° and 45° detents (click stops) drift over time. Place the digital finder on the blade itself to verify. The painted scale on the saw is a starting point, not a guarantee.

Best for: Precise setups, saw calibration, any work where the corner might not be square.

Method 2: Sliding bevel gauge (~$8–25)

A sliding T-bevel is a handle with an adjustable blade that locks at any angle. No digital display, no batteries, and no math required.

Fine Woodworking's bevel gauge guide describes the core technique: loosen the thumbscrew, hold the handle against one face of the angle, swing the blade to match the opposite face, tighten.

  1. Loosen the thumbscrew.
  2. Place the handle flat against one surface.
  3. Swing the blade until it touches the opposing surface (or matches the angled line on an existing workpiece).
  4. Tighten the thumbscrew.
  5. Transfer to saw: hold the gauge handle against the fence, adjust the miter dial until the saw blade aligns with the gauge blade. Read the dial.
  6. Transfer to workpiece: place handle against the board edge, scribe along the blade.

Don't bump the gauge after setting it. One nudge undoes the measurement.

Best for: Copying angles from existing pieces to new ones. No math required.

Method 3: Scrap wood bisect (no tools needed)

Two pieces of straight scrap, a pencil, and your miter saw. This is how finish carpenters fit trim without an angle finder, and it works because a bisecting line divides any corner angle exactly in half, which is exactly the cut angle each mating piece needs.

Fine Homebuilding's no-tools miter method documents this approach. Here's the process:

  1. Take two pieces of straight scrap at least 12" long.
  2. Place one scrap flat against the left wall of the corner, running past the corner point.
  3. Place the second scrap flat against the right wall, running past the corner point. Let them overlap.
  4. Draw a line from the corner's innermost apex point through the point where the two scraps cross. This line bisects the corner angle.
  5. Carry the marked scrap to the miter saw. Adjust the miter dial until the saw blade aligns with the bisect line.
  6. Read the dial. That's your saw setting.
  7. Cut both mating pieces at that setting, flipping one piece to mirror the cut.

Best for: Out-of-square walls, trim fitting, any time you can't measure the angle and don't own an angle finder.

Part 4: Setting Up Your Saw

Click to expand
SAW SETUP — KEY CONTROLS MITER ANGLE — TABLE ROTATES 1 Find miter lock knob — front center of base 2 Press lock release; rotate table to target angle 3 Click stops at: 0°, 15°, 22.5°, 30°, 45° 4 Tighten miter lock firmly before cutting 5 Calibrate: cross-cut scrap; flip halves — sit flat TABLE SAW NOTE Use miter gauge slot (not fence) for angle cross-cuts BEVEL ANGLE — BLADE TILTS 1 Find bevel lock — rear of saw or motor housing 2 Release bevel lock; tilt head to desired angle 3 Verify with digital angle gauge on blade 4 Tighten bevel lock firmly before cutting 5 Compound: set miter AND bevel before cutting CIRCULAR SAW NOTE Loosen bevel lever under base plate; tilt shoe to angle
Miter and bevel are two separate adjustments on the same saw. The click stops (detents) at 0°, 22.5°, 30°, and 45° are reliable for common angles — always tighten the lock before cutting, and verify both settings when doing a compound cut.

Miter saw — miter angle

  1. Locate the miter lock knob (front center of the base plate on most saws).
  2. Press the lock release and rotate the table to the target angle.
  3. Standard detents (click stops) are at 0°, 15°, 22.5°, 30°, and 45°. Reliable for common angles.
  4. For non-standard angles, hold the detent override button and set the scale precisely.
  5. Tighten the miter lock firmly.

Calibration check: Set to 0° and cross-cut a scrap. Hold both halves cut-face to cut-face. They should sit perfectly flat together. If the faces form a wedge, the 0° stop has drifted. Adjust per your saw's manual.

Miter saw — bevel angle

  1. Locate the bevel lock (rear of the saw or motor housing; varies by brand).
  2. Release the bevel lock and tilt the head to the desired angle.
  3. Re-tighten the bevel lock firmly.

For a compound cut, set both the miter angle and the bevel angle before cutting.

Table saw — bevel cut

The table saw handles long bevel rips where a miter saw can't reach.

  1. Tilt the blade using the hand wheel or lever below the table.
  2. Verify angle with a digital angle gauge placed directly on the blade. The painted scale on the indicator is a starting point only.
  3. Set the rip fence to the correct width from the blade.
  4. Use a push stick. The blade tilt changes the forces on the workpiece during the cut.
  5. A featherboard clamped upstream of the blade keeps the board against the fence.

Circular saw — bevel cut

If you don't own a miter saw, the circular saw handles bevel cuts through 45°.

  1. Loosen the bevel lock (lever or knob under the base plate).
  2. Tilt the shoe to the desired angle.
  3. Tighten the bevel lock firmly.
  4. Set the board show face down. Circular saws cut on the upstroke, so tear-out appears on the top face.

Circular saw — cross-grain angle cut

A circular saw doesn't rotate its table, so you guide it along a marked line or against a clamped straight edge.

For 45°: clamp a speed square at the mark and run the saw's base plate against it.

For other angles: mark the angle with a bevel gauge, then clamp a straight-edged board parallel to the cut line, offset by the distance from the saw blade to the base plate edge. Run the base plate against the guide board.

Part 5: Test Cuts and Verification

Cut scrap first. Always. According to LumberJocks' angle cutting guide, even when the math is right, real-world cuts can be off because saws drift and walls aren't square. Test pieces reveal the error before it reaches your real wood.

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READING THE TEST CUT GAP GAP AT OUTSIDE CORNER Angle too SHALLOW Cut angle slightly less than needed Boards don't close at the outer tip → Increase saw setting by 0.5° Cut two new test pieces and retest GAP AT INSIDE CORNER Angle too STEEP Cut angle slightly more than needed Boards don't close at the inner root → Decrease saw setting by 0.5° Cut two new test pieces and retest NO GAP — TIGHT JOINT Angle is CORRECT Joint closes tight on both faces Measure diagonals to verify square → Cut the real material 1–2 test iterations is normal Always cut two test pieces at the same setting, in opposite orientations — as if they were the two mating pieces of the real joint
The gap location tells you exactly which direction to adjust. Outside gap = too shallow, increase angle. Inside gap = too steep, decrease angle. One or two 0.5° corrections to reach a tight joint is completely normal — saw detents and scales are starting points, not guarantees.

The test cut process

  1. Set the saw to the calculated angle.
  2. Cut two pieces of scrap at the same setting, in opposite orientations, as if they were the two mating pieces of the final joint.
  3. Hold the two scraps together at the joint.
  4. Read the gap:
    • Gap at the outside corner: angle too shallow. Increase saw setting by 0.5°. Cut again. Retest.
    • Gap at the inside corner: angle too steep. Decrease saw setting by 0.5°. Cut again. Retest.
    • No gap, tight face-to-face: correct. Cut the real material.

One or two iterations is normal. Saw detents and scales are starting points, not guarantees.

Verifying a 4-corner frame

Assemble all four pieces dry. Measure both diagonals. Equal diagonals mean a square assembly. If they differ, one or more cuts is off. Find which corner shows a gap and adjust that pair.

Compound angles

When you need both a miter and bevel at once (crown molding is the most common case), the angles depend on the molding's spring angle (38°, 45°, or 52° are standard). The simplest approach: cut crown molding nested against the fence and table at its spring angle, mimicking how it will sit against the wall and ceiling. This turns a compound cut into a plain miter.

If you need to cut it flat on the saw, use the Jansson compound miter calculator. Enter the corner angle and spring angle, get both readings.

Part 6: Quick Reference — Polygon Angle Table

All figures verified against Timber Topia's polygon angle reference. Formula: Miter saw setting = 180° ÷ number of sides

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POLYGON SAW SETTINGS — 180° ÷ NUMBER OF SIDES SQUARE — 4 SIDES 45° Interior angle: 90° Built-in detent on all saws Boxes · frames · furniture PENTAGON — 5 SIDES 36° Interior angle: 108° Set scale carefully — no detent Pentagon shelf · planter box HEXAGON — 6 SIDES 30° Interior angle: 120° 30° detent on most saws Hex mirror · honeybee box OCTAGON — 8 SIDES 22.5° Interior angle: 135° 22.5° detent on most saws Octagon table · clock frame For any regular polygon: saw setting = 180° ÷ sides · The 4-, 6-, and 8-sided settings have click stops on most miter saws
Common polygon saw settings derived from the formula 180° ÷ number of sides. The square (45°), hexagon (30°), and octagon (22.5°) settings have built-in click stops on most miter saws — for everything else, set carefully and test.
SidesSaw settingInterior angleExample project
445°90°Box, picture frame, furniture
536°108°Pentagon shelf, planter box
630°120°Hex mirror, honeybee box, hex shelf
725.7°128.6°Heptagon decorative frame
822.5°135°Octagon table, octagon clock
1018°144°Decorative 10-sided frame
1215°150°Circular decorative assembly

The octagon setting (22.5°) appears as a built-in detent on most miter saws. For 4, 6, and 8 sides, you can rely on the saw's click stops. For everything else, dial in carefully and test.

Sources

This guide draws on published woodworking references, tool manufacturer documentation, and practitioner resources covering angle geometry, saw setup, and layout techniques.