A 176° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 4°, so a 176° angle and a 4° angle side by side make a straight line.
176° is 22/45 of a full circle, or 44π/45 radians. If you face north and turn 176° clockwise, you end up facing between SSE and S (closest to south (S)).
176° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 4° |
| Explement (adds to 360°) | 184° |
| Radians | 44π/45 ≈ 3.071779 |
| Gradians | 195.5556 grad |
| Fraction of a turn | 22/45 (48.89%) |
| Degrees, minutes, seconds | 176° 0′ 0″ |
| Compass bearing | between SSE and S (closest to south (S)) |
Trigonometric values of 176°
| Function | Value |
|---|---|
| sin 176° | 0.069756 |
| cos 176° | −0.997564 |
| tan 176° | −0.069927 |
176° on a protractor
How to draw a 176° 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 176° 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 176°.
Drawing it a 176° angle without a protractor (rise and run method)
- 176° = 180° − 4°. Draw a straight line, pick a vertex on it, and build a 4° angle on one side as follows; the angle on the other side of the new line is 176°.
- 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 0.7 inches (about 11/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 4°, because tan 4° ≈ 0.0699.
Where you see 176° angles
- The Earth turns 176° on its axis in about 11 h 44 min.
- Obtuse angles like 176° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
176° angle FAQ
What type of angle is 176°?
A 176° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 176°?
The supplement of 176° is 4°, because 176° + 4° = 180°. A 176° angle has no complement, because it is already larger than 90°.
How many radians is 176 degrees?
176° = 44π/45 radians ≈ 3.0718 rad. To convert degrees to radians, multiply by π/180: 176 × π/180 = 44π/45.
How do I measure a 176° angle on my screen?
Open the online protractor with 176° preset, or type 176 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
