A 149° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 31°, so a 149° angle and a 31° angle side by side make a straight line.
149° is 149/360 of a full circle, or 149π/180 radians. If you face north and turn 149° clockwise, you end up facing between SE and SSE (closest to south-southeast (SSE)).
149° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 31° |
| Explement (adds to 360°) | 211° |
| Radians | 149π/180 ≈ 2.600541 |
| Gradians | 165.5556 grad |
| Fraction of a turn | 149/360 (41.39%) |
| Degrees, minutes, seconds | 149° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to south-southeast (SSE)) |
Trigonometric values of 149°
| Function | Value |
|---|---|
| sin 149° | 0.515038 |
| cos 149° | −0.857167 |
| tan 149° | −0.600861 |
149° on a protractor
How to draw a 149° 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 149° 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 149°.
Drawing it a 149° angle without a protractor (rise and run method)
- 149° = 180° − 31°. Draw a straight line, pick a vertex on it, and build a 31° angle on one side as follows; the angle on the other side of the new line is 149°.
- 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 6.01 inches (about 6″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 31°, because tan 31° ≈ 0.6009.
Where you see 149° angles
- The Earth turns 149° on its axis in about 9 h 56 min.
- Obtuse angles like 149° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
149° angle FAQ
What type of angle is 149°?
A 149° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 149°?
The supplement of 149° is 31°, because 149° + 31° = 180°. A 149° angle has no complement, because it is already larger than 90°.
How many radians is 149 degrees?
149° = 149π/180 radians ≈ 2.6005 rad. To convert degrees to radians, multiply by π/180: 149 × π/180 = 149π/180.
How do I measure a 149° angle on my screen?
Open the online protractor with 149° preset, or type 149 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
