A 132° angle is an obtuse angle: wider than a right angle (90°) but less than a straight line (180°). Its supplement is 48°, so a 132° angle and a 48° angle side by side make a straight line.
132° is 11/30 of a full circle, or 11π/15 radians. The minute hand of a clock sweeps 132° in 22 minutes. If you face north and turn 132° clockwise, you end up facing between ESE and SE (closest to southeast (SE)).
132° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 48° |
| Explement (adds to 360°) | 228° |
| Radians | 11π/15 ≈ 2.303835 |
| Gradians | 146.6667 grad |
| Fraction of a turn | 11/30 (36.67%) |
| Degrees, minutes, seconds | 132° 0′ 0″ |
| Compass bearing | between ESE and SE (closest to southeast (SE)) |
Trigonometric values of 132°
| Function | Value |
|---|---|
| sin 132° | 0.743145 |
| cos 132° | −0.669131 |
| tan 132° | −1.110613 |
132° on a protractor
How to draw a 132° 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 132° 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 132°.
Drawing it a 132° angle without a protractor (rise and run method)
- 132° = 180° − 48°. Draw a straight line, pick a vertex on it, and build a 48° angle on one side as follows; the angle on the other side of the new line is 132°.
- Draw a straight baseline and measure 9 inches (about 9″) 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 48°, because tan 48° ≈ 1.1106.
Where you see 132° angles
- The Earth turns 132° on its axis in about 8 h 48 min.
- Obtuse angles like 132° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
132° angle FAQ
What type of angle is 132°?
A 132° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 132°?
The supplement of 132° is 48°, because 132° + 48° = 180°. A 132° angle has no complement, because it is already larger than 90°.
How many radians is 132 degrees?
132° = 11π/15 radians ≈ 2.3038 rad. To convert degrees to radians, multiply by π/180: 132 × π/180 = 11π/15.
How do I measure a 132° angle on my screen?
Open the online protractor with 132° preset, or type 132 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
