At 142°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 38°, so a 142° angle and a 38° angle side by side make a straight line.
142° is 71/180 of a full circle, or 71π/90 radians. If you face north and turn 142° clockwise, you end up facing between SE and SSE (closest to southeast (SE)).
142° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 38° |
| Explement (adds to 360°) | 218° |
| Radians | 71π/90 ≈ 2.478368 |
| Gradians | 157.7778 grad |
| Fraction of a turn | 71/180 (39.44%) |
| Degrees, minutes, seconds | 142° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to southeast (SE)) |
Trigonometric values of 142°
| Function | Value |
|---|---|
| sin 142° | 0.615661 |
| cos 142° | −0.788011 |
| tan 142° | −0.781286 |
142° on a protractor
How to draw a 142° 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 142° 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 142°.
Drawing it a 142° angle without a protractor (rise and run method)
- 142° = 180° − 38°. Draw a straight line, pick a vertex on it, and build a 38° angle on one side as follows; the angle on the other side of the new line is 142°.
- 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 7.81 inches (about 7 13/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 38°, because tan 38° ≈ 0.7813.
Where you see 142° angles
- The Earth turns 142° on its axis in about 9 h 28 min.
- Obtuse angles like 142° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
142° angle FAQ
What type of angle is 142°?
A 142° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 142°?
The supplement of 142° is 38°, because 142° + 38° = 180°. A 142° angle has no complement, because it is already larger than 90°.
How many radians is 142 degrees?
142° = 71π/90 radians ≈ 2.4784 rad. To convert degrees to radians, multiply by π/180: 142 × π/180 = 71π/90.
How do I measure a 142° angle on my screen?
Open the online protractor with 142° preset, or type 142 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
