A 122° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 58°, so a 122° angle and a 58° angle side by side make a straight line.
122° is 61/180 of a full circle, or 61π/90 radians. If you face north and turn 122° clockwise, you end up facing between ESE and SE (closest to east-southeast (ESE)).
122° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 58° |
| Explement (adds to 360°) | 238° |
| Radians | 61π/90 ≈ 2.129302 |
| Gradians | 135.5556 grad |
| Fraction of a turn | 61/180 (33.89%) |
| Degrees, minutes, seconds | 122° 0′ 0″ |
| Compass bearing | between ESE and SE (closest to east-southeast (ESE)) |
Trigonometric values of 122°
| Function | Value |
|---|---|
| sin 122° | 0.848048 |
| cos 122° | −0.529919 |
| tan 122° | −1.600335 |
122° on a protractor
How to draw a 122° 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 122° 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 122°.
Drawing it a 122° angle without a protractor (rise and run method)
- 122° = 180° − 58°. Draw a straight line, pick a vertex on it, and build a 58° angle on one side as follows; the angle on the other side of the new line is 122°.
- Draw a straight baseline and measure 6.25 inches (about 6 1/4″) 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 58°, because tan 58° ≈ 1.6003.
Where you see 122° angles
- The Earth turns 122° on its axis in about 8 h 8 min.
- Obtuse angles like 122° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
122° angle FAQ
What type of angle is 122°?
A 122° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 122°?
The supplement of 122° is 58°, because 122° + 58° = 180°. A 122° angle has no complement, because it is already larger than 90°.
How many radians is 122 degrees?
122° = 61π/90 radians ≈ 2.1293 rad. To convert degrees to radians, multiply by π/180: 122 × π/180 = 61π/90.
How do I measure a 122° angle on my screen?
Open the online protractor with 122° preset, or type 122 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
