A 141° angle is an obtuse angle: wider than a right angle (90°) but less than a straight line (180°). Its supplement is 39°, so a 141° angle and a 39° angle side by side make a straight line.
141° is 47/120 of a full circle, or 47π/60 radians. If you face north and turn 141° clockwise, you end up facing between SE and SSE (closest to southeast (SE)).
141° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 39° |
| Explement (adds to 360°) | 219° |
| Radians | 47π/60 ≈ 2.460914 |
| Gradians | 156.6667 grad |
| Fraction of a turn | 47/120 (39.17%) |
| Degrees, minutes, seconds | 141° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to southeast (SE)) |
Trigonometric values of 141°
| Function | Value |
|---|---|
| sin 141° | 0.62932 |
| cos 141° | −0.777146 |
| tan 141° | −0.809784 |
141° on a protractor
How to draw a 141° 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 141° 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 141°.
Drawing it a 141° angle without a protractor (rise and run method)
- 141° = 180° − 39°. Draw a straight line, pick a vertex on it, and build a 39° angle on one side as follows; the angle on the other side of the new line is 141°.
- Draw a straight baseline and measure exactly 10 inches along it from the vertex.
- At the 10-inch mark, draw a short line straight up at 90° (use a carpenter's square or the corner of a sheet of paper).
- Measure 8.1 inches (about 8 1/8″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 39°, because tan 39° ≈ 0.8098.
Where you see 141° angles
- The Earth turns 141° on its axis in about 9 h 24 min.
- Obtuse angles like 141° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
141° angle FAQ
What type of angle is 141°?
A 141° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 141°?
The supplement of 141° is 39°, because 141° + 39° = 180°. A 141° angle has no complement, because it is already larger than 90°.
How many radians is 141 degrees?
141° = 47π/60 radians ≈ 2.4609 rad. To convert degrees to radians, multiply by π/180: 141 × π/180 = 47π/60.
How do I measure a 141° angle on my screen?
Open the online protractor with 141° preset, or type 141 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
