At 136°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 44°, so a 136° angle and a 44° angle side by side make a straight line.
136° is 17/45 of a full circle, or 34π/45 radians. If you face north and turn 136° clockwise, you end up facing between SE and SSE (closest to southeast (SE)).
136° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 44° |
| Explement (adds to 360°) | 224° |
| Radians | 34π/45 ≈ 2.373648 |
| Gradians | 151.1111 grad |
| Fraction of a turn | 17/45 (37.78%) |
| Degrees, minutes, seconds | 136° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to southeast (SE)) |
Trigonometric values of 136°
| Function | Value |
|---|---|
| sin 136° | 0.694658 |
| cos 136° | −0.71934 |
| tan 136° | −0.965689 |
136° on a protractor
How to draw a 136° 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 136° 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 136°.
Drawing it a 136° angle without a protractor (rise and run method)
- 136° = 180° − 44°. Draw a straight line, pick a vertex on it, and build a 44° angle on one side as follows; the angle on the other side of the new line is 136°.
- 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 9.66 inches (about 9 11/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 44°, because tan 44° ≈ 0.9657.
Where you see 136° angles
- The Earth turns 136° on its axis in about 9 h 4 min.
- Obtuse angles like 136° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
136° angle FAQ
What type of angle is 136°?
A 136° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 136°?
The supplement of 136° is 44°, because 136° + 44° = 180°. A 136° angle has no complement, because it is already larger than 90°.
How many radians is 136 degrees?
136° = 34π/45 radians ≈ 2.3736 rad. To convert degrees to radians, multiply by π/180: 136 × π/180 = 34π/45.
How do I measure a 136° angle on my screen?
Open the online protractor with 136° preset, or type 136 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
