A 146° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 34°, so a 146° angle and a 34° angle side by side make a straight line.
146° is 73/180 of a full circle, or 73π/90 radians. If you face north and turn 146° clockwise, you end up facing between SE and SSE (closest to southeast (SE)).
146° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 34° |
| Explement (adds to 360°) | 214° |
| Radians | 73π/90 ≈ 2.548181 |
| Gradians | 162.2222 grad |
| Fraction of a turn | 73/180 (40.56%) |
| Degrees, minutes, seconds | 146° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to southeast (SE)) |
Trigonometric values of 146°
| Function | Value |
|---|---|
| sin 146° | 0.559193 |
| cos 146° | −0.829038 |
| tan 146° | −0.674509 |
146° on a protractor
How to draw a 146° 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 146° 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 146°.
Drawing it a 146° angle without a protractor (rise and run method)
- 146° = 180° − 34°. Draw a straight line, pick a vertex on it, and build a 34° angle on one side as follows; the angle on the other side of the new line is 146°.
- 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 6.75 inches (about 6 3/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 34°, because tan 34° ≈ 0.6745.
Where you see 146° angles
- The Earth turns 146° on its axis in about 9 h 44 min.
- Obtuse angles like 146° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
146° angle FAQ
What type of angle is 146°?
A 146° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 146°?
The supplement of 146° is 34°, because 146° + 34° = 180°. A 146° angle has no complement, because it is already larger than 90°.
How many radians is 146 degrees?
146° = 73π/90 radians ≈ 2.5482 rad. To convert degrees to radians, multiply by π/180: 146 × π/180 = 73π/90.
How do I measure a 146° angle on my screen?
Open the online protractor with 146° preset, or type 146 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
