A 119° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 61°, so a 119° angle and a 61° angle side by side make a straight line.
119° is 119/360 of a full circle, or 119π/180 radians. If you face north and turn 119° clockwise, you end up facing between ESE and SE (closest to east-southeast (ESE)).
119° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 61° |
| Explement (adds to 360°) | 241° |
| Radians | 119π/180 ≈ 2.076942 |
| Gradians | 132.2222 grad |
| Fraction of a turn | 119/360 (33.06%) |
| Degrees, minutes, seconds | 119° 0′ 0″ |
| Compass bearing | between ESE and SE (closest to east-southeast (ESE)) |
Trigonometric values of 119°
| Function | Value |
|---|---|
| sin 119° | 0.87462 |
| cos 119° | −0.48481 |
| tan 119° | −1.804048 |
119° on a protractor
How to draw a 119° 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 119° 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 119°.
Drawing it a 119° angle without a protractor (rise and run method)
- 119° = 180° − 61°. Draw a straight line, pick a vertex on it, and build a 61° angle on one side as follows; the angle on the other side of the new line is 119°.
- Draw a straight baseline and measure 5.54 inches (about 5 9/16″) 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 61°, because tan 61° ≈ 1.804.
Where you see 119° angles
- The Earth turns 119° on its axis in about 7 h 56 min.
- Obtuse angles like 119° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
119° angle FAQ
What type of angle is 119°?
A 119° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 119°?
The supplement of 119° is 61°, because 119° + 61° = 180°. A 119° angle has no complement, because it is already larger than 90°.
How many radians is 119 degrees?
119° = 119π/180 radians ≈ 2.0769 rad. To convert degrees to radians, multiply by π/180: 119 × π/180 = 119π/180.
How do I measure a 119° angle on my screen?
Open the online protractor with 119° preset, or type 119 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
