At 169°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 11°, so a 169° angle and an 11° angle side by side make a straight line.
169° is 169/360 of a full circle, or 169π/180 radians. If you face north and turn 169° clockwise, you end up facing between SSE and S (closest to south (S)).
169° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 11° |
| Explement (adds to 360°) | 191° |
| Radians | 169π/180 ≈ 2.949606 |
| Gradians | 187.7778 grad |
| Fraction of a turn | 169/360 (46.94%) |
| Degrees, minutes, seconds | 169° 0′ 0″ |
| Compass bearing | between SSE and S (closest to south (S)) |
Trigonometric values of 169°
| Function | Value |
|---|---|
| sin 169° | 0.190809 |
| cos 169° | −0.981627 |
| tan 169° | −0.19438 |
169° on a protractor
How to draw a 169° 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 169° 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 169°.
Drawing it a 169° angle without a protractor (rise and run method)
- 169° = 180° − 11°. Draw a straight line, pick a vertex on it, and build an 11° angle on one side as follows; the angle on the other side of the new line is 169°.
- 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 1.94 inches (about 1 15/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 11°, because tan 11° ≈ 0.1944.
Where you see 169° angles
- The Earth turns 169° on its axis in about 11 h 16 min.
- Obtuse angles like 169° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
169° angle FAQ
What type of angle is 169°?
A 169° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 169°?
The supplement of 169° is 11°, because 169° + 11° = 180°. A 169° angle has no complement, because it is already larger than 90°.
How many radians is 169 degrees?
169° = 169π/180 radians ≈ 2.9496 rad. To convert degrees to radians, multiply by π/180: 169 × π/180 = 169π/180.
How do I measure a 169° angle on my screen?
Open the online protractor with 169° preset, or type 169 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
