At 148°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 32°, so a 148° angle and a 32° angle side by side make a straight line.
148° is 37/90 of a full circle, or 37π/45 radians. If you face north and turn 148° clockwise, you end up facing between SE and SSE (closest to south-southeast (SSE)).
148° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 32° |
| Explement (adds to 360°) | 212° |
| Radians | 37π/45 ≈ 2.583087 |
| Gradians | 164.4444 grad |
| Fraction of a turn | 37/90 (41.11%) |
| Degrees, minutes, seconds | 148° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to south-southeast (SSE)) |
Trigonometric values of 148°
| Function | Value |
|---|---|
| sin 148° | 0.529919 |
| cos 148° | −0.848048 |
| tan 148° | −0.624869 |
148° on a protractor
How to draw a 148° 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 148° 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 148°.
Drawing it a 148° angle without a protractor (rise and run method)
- 148° = 180° − 32°. Draw a straight line, pick a vertex on it, and build a 32° angle on one side as follows; the angle on the other side of the new line is 148°.
- 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 6.25 inches (about 6 1/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 32°, because tan 32° ≈ 0.6249.
Where you see 148° angles
- The Earth turns 148° on its axis in about 9 h 52 min.
- Obtuse angles like 148° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
148° angle FAQ
What type of angle is 148°?
A 148° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 148°?
The supplement of 148° is 32°, because 148° + 32° = 180°. A 148° angle has no complement, because it is already larger than 90°.
How many radians is 148 degrees?
148° = 37π/45 radians ≈ 2.5831 rad. To convert degrees to radians, multiply by π/180: 148 × π/180 = 37π/45.
How do I measure a 148° angle on my screen?
Open the online protractor with 148° preset, or type 148 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
