Disclosure

Tools for measuring angles

The angle in a real building is almost never a round number, so reading it as 93.4 degrees and setting a saw to 93.4 degrees adds two errors where one would do. Copying the angle directly with a bevel adds none. All 26 tools here are grouped by whether you need to copy an angle, read it as a number, or set a machine to it, because those are three different jobs.

7 are marked essential: something to copy an angle with, something to read one, and something to halve it.

Part of the full measuring tools list, 55 tools in 9 groups.

Copying an angle 6

Transfer it directly and no reading error can enter. The best answer to most real corners.

  • A sliding bevel gauge with a wooden stock and a pivoting locking bladeEssential

    Sliding bevel

    A blade that pivots in a stock and locks at any angle. Set it in the corner, lock it, carry it to the saw. Nothing is read and nothing is rounded.

  • A digital sliding bevel gauge with an LCD display and a locking pivot

    Digital sliding bevel

    The same tool with a readout, so the angle can be copied and also recorded. Useful when the same setting is needed again in a week.

  • Profile gauge: A plastic profile contour gauge with sliding pins showing a stepped shape

    Profile gauge

    Sliding pins that take the shape of a moulding or a pipe, copying a whole profile rather than one angle. For scribing to something irregular.

  • A pair of steel dividers with sharp points and an adjusting screwEssential

    Dividers

    Two arcs and a line bisects any angle exactly, with no number involved. Also steps off equal spacings, which is how a run of holes ends up even.

  • A metal scribing tool with a pointed follower and a pencil holder

    Scribing tool

    Follows an uneven surface and marks a parallel line on the workpiece, so a worktop meets a wall that is not straight. Copying a shape rather than an angle.

  • Fixed bevel gauges

    Fixed bevel gauges

    Blocks ground at common angles, for checking a setting rather than finding it. Faster than a protractor for confirming a saw is at 45 degrees.

Reading an angle in degrees 7

For calculation, for a drawing, or to tell someone else. Not needed to make a cut.

  • A clear plastic semicircular protractor with printed degree markingsEssential

    Protractor

    A semicircular scale read against a line. The basic angle reading tool, and the accuracy comes from the length of the arm as much as the scale.

  • A combination square protractor head with a degree scale and a steel rule fitted

    Protractor head

    Fits a combination square rule and reads degrees against a workpiece. Turns a marking set into an angle set for the cost of one head.

  • Digital angle finderEssential

    Digital angle finder

    Two arms and a readout, usually to a tenth of a degree, and most will display the halved mitre figure directly. That halving is the real feature.

  • A steel vernier bevel protractor with a rotating blade and an engraved scale

    Vernier bevel protractor

    A machined protractor with a vernier scale reading to five minutes of arc. Precision engineering rather than joinery, and it needs no batteries.

  • Multi angle ruler

    Multi angle ruler

    Four hinged arms that form any quadrilateral and lock, copying and reading an irregular shape. Popular for tiling and awkward corners.

  • An aluminium triangular speed square with a lipped fence and degree markings

    Speed square

    The degree markings around the hypotenuse pivot from the corner, giving an angle and a line to cut in one movement. A rafter tool at heart.

  • Phone angle app

    Phone angle app

    The accelerometer as an inclinometer, adequate for a rough check. Not accurate enough for a mitre, and always available, which is the point.

Angles relative to gravity 6

Pitches, falls and gradients. A different question from the angle between two surfaces.

  • Inclinometer

    Inclinometer

    Reads the slope of a surface against the horizon, which is what a roof pitch or a ramp gradient actually is. Magnetic ones sit on steel unaided.

  • Digital spirit levelEssential

    Digital spirit level

    Bubble vials plus a numeric angle, so a deliberate fall can be set to a figure rather than estimated. What a drain or a shower tray needs.

  • A small roof pitch gauge with a pivoting arm and dual degree and ratio scales

    Roof pitch gauge

    Reads pitch in degrees and as a ratio at the same time, since roofing is specified both ways depending on who is talking about it.

  • Fall level

    Fall level

    A level with an offset vial or an adjustable one, so a set gradient reads as level when the fall is correct. Simpler than doing arithmetic in a trench.

  • A handheld optical clinometer with a sighting tube and a scale window

    Clinometer

    Sighted at a distant point to read its elevation, used for tree height and slope surveys. Measures an angle to something you cannot touch.

  • A brass plumb bob with a pointed tip hanging from a string

    Plumb bob

    A weight on a line, which is a vertical reference that cannot be miscalibrated. Still the check on any tool that claims to know where down is.

Setting a machine and checking the cut 7

The angle is only useful once a saw is set to it and the cut proves it.

  • A compound mitre saw with a rotating table, a tilting head and a blade guard

    Mitre saw

    The table rotates for mitre and the head tilts for bevel. Its own scale is usually coarse, which is why a bevel or a digital gauge sets it better.

  • Saw setting gauge

    Saw setting gauge

    A digital gauge that sits on the saw table and reads the blade angle directly, bypassing the printed scale and any slop in the detents.

  • Mitre box

    Mitre box

    Fixed slots at 45 and 90 degrees for a hand saw. No power, no setting, and it cannot cut the 46.5 degrees a real corner needs.

  • Test offcuts: Held together at a cornerEssential

    Test offcuts

    Two scraps cut at the setting and held together. If they close with no gap, the setting is right, which no reading on any tool actually proves.

  • A retractable steel tape measure with a yellow case, blade partly extendedEssential

    Tape measure

    The 3 4 5 method and equal diagonals both run on a tape alone, and at large scale both beat any angle tool for accuracy.

  • Clamps: A one handed trigger bar clamp with a pistol grip and plastic jaws

    Clamps

    An angled cut wants to slide along the fence, which is what turns a correct setting into a wrong cut. Clamped work removes that entirely.

  • Angle calculator

    Angle calculator

    For compound cuts, where mitre and bevel interact and neither can be measured off the corner. A chart or an app is the honest tool for that case.

Choosing measuring angles tools

The list above is what exists. This is how to decide which of it you actually need, what separates a tool worth keeping from one that ends up at the back of a drawer.

Copy the angle rather than reading it

Set a sliding bevel into the corner, lock it, and carry it to the saw. The angle is transferred exactly, with no reading and no setting, so no rounding error enters the job at any point.

Reading it as a number introduces two chances to be wrong: the reading, and setting the saw to that reading. On a corner that is 93.4 degrees, a saw scale marked in whole degrees cannot express it anyway.

Bevel into the corner
Lock it, take it to the saw, set the blade to it. Nothing is read and nothing is rounded.
Two errors become none
Reading, then setting, each add error. Direct transfer adds neither.
Saw scales are coarse
Most read whole degrees. A real corner is not a whole number of degrees.
Read only when you must
For calculation, for a drawing, or to communicate it to someone else.

A joint is half the corner

Two pieces meeting in a corner each get half of it. A 90 degree corner is two 45 degree cuts. A 93 degree corner is two cuts of 46.5, which no saw scale shows and every skirting board in an old house needs.

So the useful tool is one that reports the half angle directly, or a bevel and a compass to bisect the angle geometrically. Digital angle finders that show the mitre setting rather than the corner angle exist for exactly this reason.

Half the corner each
Two pieces share it. That halving is where the arithmetic goes wrong most often.
Digital finders halve for you
Many display the mitre setting directly. It removes the one calculation people get wrong.
Bisect with a compass
Two arcs and a line halves any angle exactly, with no number involved at all.
Cut a test piece
Two offcuts at the setting. If they close, the setting is right. Cheaper than the skirting.

Mitre and bevel are different angles

On a mitre saw, the mitre angle is the rotation of the table and the bevel angle is the tilt of the blade. A skirting corner needs a mitre. A crown moulding or a hip rafter needs both at once, and getting them the right way round is most of the difficulty.

Compound angles are where calculation genuinely beats copying, because the two settings interact and cannot be transferred with a bevel. A chart or a calculator is the honest tool there.

Mitre rotates the table
For a corner in the plan view. Skirting and architrave are mitre cuts.
Bevel tilts the blade
For a cut through the thickness. Roof and moulding work needs it.
Compound is both
The settings interact, so neither can be read off the corner directly.
Use a chart for compound
This is the case where a table or an app beats any measuring tool.

Angle to what

Some tools measure the angle between two surfaces, and some measure the angle of one surface relative to gravity. A protractor does the first, an inclinometer does the second, and they answer different questions.

A roof pitch, a drain fall or a ramp gradient is a gravity measurement. The angle at a corner of a room is not. Using an inclinometer on a workpiece that is not level gives a number that is true and useless.

Protractor: surface to surface
The angle between two things, wherever they happen to be sitting.
Inclinometer: relative to gravity
A pitch, a fall, a gradient. Meaningless if the reference is not the horizon.
Zero it first
A digital tool referenced to a flat surface gives relative angles reliably.
Falls are usually ratios
A drain is specified as 1 in 40, not in degrees. Convert once and note it.

Squaring and angles without a tool

The 3 4 5 method makes a right angle at any scale with a tape alone: measure 3 units along one line, 4 along the other, and adjust until the diagonal is 5. It scales to a whole building and needs nothing else.

Equal diagonals proves a rectangle true. A compass bisects an angle exactly. These are worth knowing because they work when a tool has been left in the van, and because they are more accurate than a small tool used on large work.

3 4 5 for a right angle
Any units, any scale, tape only. Use 6 8 10 on site for better precision.
Equal diagonals
Proves a rectangle. The only reliable check on anything larger than your square.
Compass bisects exactly
Two arcs and a line halves an angle with no measurement at all.
Scale up for accuracy
The longer the sides, the smaller the angular error. Use the whole space.

Frequently asked questions

What tools measure angles?
A sliding bevel copies an angle without reading it. A protractor or protractor head reads one in degrees. A digital angle finder reads it and often halves it for a mitre. An inclinometer measures a surface against gravity for pitches and falls.
Should I copy an angle or measure it?
Copy it wherever you can. A sliding bevel locked into a corner and carried to the saw transfers the angle exactly. Reading it as a number and then setting the saw to that number adds two chances of error, and most saw scales only read whole degrees anyway.
How do I work out the mitre angle for a corner?
Each piece takes half the corner angle. A 90 degree corner is two 45 degree cuts, and a 93 degree corner is two cuts of 46.5. Many digital angle finders display that halved figure directly, which removes the one calculation people most often get wrong.
What is the difference between a mitre and a bevel angle?
On a mitre saw the mitre angle is the rotation of the table, for a corner seen in plan, and the bevel angle is the tilt of the blade, for a cut through the thickness. Skirting needs a mitre. Crown moulding and hip rafters need both at once.
How do you find a right angle without a square?
The 3 4 5 method. Measure 3 units along one line and 4 along the other, then adjust until the diagonal between those points is exactly 5. It works in any units at any scale, so 6 8 10 in metres sets out a building foundation with just a tape.
What is an inclinometer used for?
Measuring the angle of a single surface relative to gravity, which is what a roof pitch, a drain fall or a ramp gradient is. It is not the tool for the angle between two surfaces, so using it on a workpiece that is not level gives a true and useless number.
How accurate are digital angle finders?
Typically a tenth of a degree, which is far finer than most saw scales can be set to. The useful features are holding a reading, showing the halved mitre figure, and being zeroed against a reference surface so relative angles can be taken directly.
How do I cut compound angles?
Use a chart or a calculator rather than a measuring tool. The mitre and bevel settings on a compound cut interact, so neither can be read directly off the corner or transferred with a bevel. Then cut two offcuts at those settings and check they close before the real piece.