A 152° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 28°, so a 152° angle and a 28° angle side by side make a straight line.
152° is 19/45 of a full circle, or 38π/45 radians. If you face north and turn 152° clockwise, you end up facing between SE and SSE (closest to south-southeast (SSE)).
152° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 28° |
| Explement (adds to 360°) | 208° |
| Radians | 38π/45 ≈ 2.6529 |
| Gradians | 168.8889 grad |
| Fraction of a turn | 19/45 (42.22%) |
| Degrees, minutes, seconds | 152° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to south-southeast (SSE)) |
Trigonometric values of 152°
| Function | Value |
|---|---|
| sin 152° | 0.469472 |
| cos 152° | −0.882948 |
| tan 152° | −0.531709 |
152° on a protractor
How to draw a 152° 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 152° 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 152°.
Drawing it a 152° angle without a protractor (rise and run method)
- 152° = 180° − 28°. Draw a straight line, pick a vertex on it, and build a 28° angle on one side as follows; the angle on the other side of the new line is 152°.
- 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 5.32 inches (about 5 5/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 28°, because tan 28° ≈ 0.5317.
Where you see 152° angles
- The Earth turns 152° on its axis in about 10 h 8 min.
- Obtuse angles like 152° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
152° angle FAQ
What type of angle is 152°?
A 152° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 152°?
The supplement of 152° is 28°, because 152° + 28° = 180°. A 152° angle has no complement, because it is already larger than 90°.
How many radians is 152 degrees?
152° = 38π/45 radians ≈ 2.6529 rad. To convert degrees to radians, multiply by π/180: 152 × π/180 = 38π/45.
How do I measure a 152° angle on my screen?
Open the online protractor with 152° preset, or type 152 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
