A 137° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 43°, so a 137° angle and a 43° angle side by side make a straight line.
137° is 137/360 of a full circle, or 137π/180 radians. If you face north and turn 137° clockwise, you end up facing between SE and SSE (closest to southeast (SE)).
137° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 43° |
| Explement (adds to 360°) | 223° |
| Radians | 137π/180 ≈ 2.391101 |
| Gradians | 152.2222 grad |
| Fraction of a turn | 137/360 (38.06%) |
| Degrees, minutes, seconds | 137° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to southeast (SE)) |
Trigonometric values of 137°
| Function | Value |
|---|---|
| sin 137° | 0.681998 |
| cos 137° | −0.731354 |
| tan 137° | −0.932515 |
137° on a protractor
How to draw a 137° 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 137° 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 137°.
Drawing it a 137° angle without a protractor (rise and run method)
- 137° = 180° − 43°. Draw a straight line, pick a vertex on it, and build a 43° angle on one side as follows; the angle on the other side of the new line is 137°.
- 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 9.33 inches (about 9 5/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 43°, because tan 43° ≈ 0.9325.
Where you see 137° angles
- The Earth turns 137° on its axis in about 9 h 8 min.
- Obtuse angles like 137° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
137° angle FAQ
What type of angle is 137°?
A 137° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 137°?
The supplement of 137° is 43°, because 137° + 43° = 180°. A 137° angle has no complement, because it is already larger than 90°.
How many radians is 137 degrees?
137° = 137π/180 radians ≈ 2.3911 rad. To convert degrees to radians, multiply by π/180: 137 × π/180 = 137π/180.
How do I measure a 137° angle on my screen?
Open the online protractor with 137° preset, or type 137 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
