At 127°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 53°, so a 127° angle and a 53° angle side by side make a straight line.
127° is 127/360 of a full circle, or 127π/180 radians. If you face north and turn 127° clockwise, you end up facing between ESE and SE (closest to southeast (SE)).
127° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 53° |
| Explement (adds to 360°) | 233° |
| Radians | 127π/180 ≈ 2.216568 |
| Gradians | 141.1111 grad |
| Fraction of a turn | 127/360 (35.28%) |
| Degrees, minutes, seconds | 127° 0′ 0″ |
| Compass bearing | between ESE and SE (closest to southeast (SE)) |
Trigonometric values of 127°
| Function | Value |
|---|---|
| sin 127° | 0.798636 |
| cos 127° | −0.601815 |
| tan 127° | −1.327045 |
127° on a protractor
How to draw a 127° 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 127° 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 127°.
Drawing it a 127° angle without a protractor (rise and run method)
- 127° = 180° − 53°. Draw a straight line, pick a vertex on it, and build a 53° angle on one side as follows; the angle on the other side of the new line is 127°.
- Draw a straight baseline and measure 7.54 inches (about 7 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 53°, because tan 53° ≈ 1.327.
Where you see 127° angles
- The Earth turns 127° on its axis in about 8 h 28 min.
- Obtuse angles like 127° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
127° angle FAQ
What type of angle is 127°?
A 127° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 127°?
The supplement of 127° is 53°, because 127° + 53° = 180°. A 127° angle has no complement, because it is already larger than 90°.
How many radians is 127 degrees?
127° = 127π/180 radians ≈ 2.2166 rad. To convert degrees to radians, multiply by π/180: 127 × π/180 = 127π/180.
How do I measure a 127° angle on my screen?
Open the online protractor with 127° preset, or type 127 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
