At 133°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 47°, so a 133° angle and a 47° angle side by side make a straight line.
133° is 133/360 of a full circle, or 133π/180 radians. If you face north and turn 133° clockwise, you end up facing between ESE and SE (closest to southeast (SE)).
133° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 47° |
| Explement (adds to 360°) | 227° |
| Radians | 133π/180 ≈ 2.321288 |
| Gradians | 147.7778 grad |
| Fraction of a turn | 133/360 (36.94%) |
| Degrees, minutes, seconds | 133° 0′ 0″ |
| Compass bearing | between ESE and SE (closest to southeast (SE)) |
Trigonometric values of 133°
| Function | Value |
|---|---|
| sin 133° | 0.731354 |
| cos 133° | −0.681998 |
| tan 133° | −1.072369 |
133° on a protractor
How to draw a 133° angle with a protractor
- Draw a straight line with a ruler. This is the first arm; mark the vertex at one end.
- Place the center mark of the protractor exactly on the vertex and line up the 0° baseline with your line.
- Find 133° on the row of numbers that reads 0° on your line (protractors have two rows running in opposite directions) and make a small dot at the edge.
- Remove the protractor and draw a line from the vertex through the dot. Mark the angle with an arc and label it 133°.
Drawing it a 133° angle without a protractor (rise and run method)
- 133° = 180° − 47°. Draw a straight line, pick a vertex on it, and build a 47° angle on one side as follows; the angle on the other side of the new line is 133°.
- Draw a straight baseline and measure 9.33 inches (about 9 5/16″) along it from the vertex.
- At that mark, draw a line straight up at 90° and measure exactly 10 inches up it.
- Join the top mark to the vertex. The angle at the vertex is 47°, because tan 47° ≈ 1.0724.
Where you see 133° angles
- The Earth turns 133° on its axis in about 8 h 52 min.
- Obtuse angles like 133° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
133° angle FAQ
What type of angle is 133°?
A 133° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 133°?
The supplement of 133° is 47°, because 133° + 47° = 180°. A 133° angle has no complement, because it is already larger than 90°.
How many radians is 133 degrees?
133° = 133π/180 radians ≈ 2.3213 rad. To convert degrees to radians, multiply by π/180: 133 × π/180 = 133π/180.
How do I measure a 133° angle on my screen?
Open the online protractor with 133° preset, or type 133 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
