A 153° angle is an obtuse angle: wider than a right angle (90°) but less than a straight line (180°). Its supplement is 27°, so a 153° angle and a 27° angle side by side make a straight line.
153° is 17/40 of a full circle, or 17π/20 radians. If you face north and turn 153° clockwise, you end up facing between SE and SSE (closest to south-southeast (SSE)).
153° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 27° |
| Explement (adds to 360°) | 207° |
| Radians | 17π/20 ≈ 2.670354 |
| Gradians | 170 grad |
| Fraction of a turn | 17/40 (42.5%) |
| Degrees, minutes, seconds | 153° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to south-southeast (SSE)) |
Trigonometric values of 153°
| Function | Value |
|---|---|
| sin 153° | 0.45399 |
| cos 153° | −0.891007 |
| tan 153° | −0.509525 |
153° on a protractor
How to draw a 153° 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 153° 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 153°.
Drawing it a 153° angle without a protractor (rise and run method)
- 153° = 180° − 27°. Draw a straight line, pick a vertex on it, and build a 27° angle on one side as follows; the angle on the other side of the new line is 153°.
- 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 5.1 inches (about 5 1/8″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 27°, because tan 27° ≈ 0.5095.
Where you see 153° angles
- The Earth turns 153° on its axis in about 10 h 12 min.
- Obtuse angles like 153° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
153° angle FAQ
What type of angle is 153°?
A 153° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 153°?
The supplement of 153° is 27°, because 153° + 27° = 180°. A 153° angle has no complement, because it is already larger than 90°.
How many radians is 153 degrees?
153° = 17π/20 radians ≈ 2.6704 rad. To convert degrees to radians, multiply by π/180: 153 × π/180 = 17π/20.
How do I measure a 153° angle on my screen?
Open the online protractor with 153° preset, or type 153 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
