A 147° angle is an obtuse angle: wider than a right angle (90°) but less than a straight line (180°). Its supplement is 33°, so a 147° angle and a 33° angle side by side make a straight line.
147° is 49/120 of a full circle, or 49π/60 radians. If you face north and turn 147° clockwise, you end up facing between SE and SSE (closest to south-southeast (SSE)).
147° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 33° |
| Explement (adds to 360°) | 213° |
| Radians | 49π/60 ≈ 2.565634 |
| Gradians | 163.3333 grad |
| Fraction of a turn | 49/120 (40.83%) |
| Degrees, minutes, seconds | 147° 0′ 0″ |
| Compass bearing | between SE and SSE (closest to south-southeast (SSE)) |
Trigonometric values of 147°
| Function | Value |
|---|---|
| sin 147° | 0.544639 |
| cos 147° | −0.838671 |
| tan 147° | −0.649408 |
147° on a protractor
How to draw a 147° 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 147° 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 147°.
Drawing it a 147° angle without a protractor (rise and run method)
- 147° = 180° − 33°. Draw a straight line, pick a vertex on it, and build a 33° angle on one side as follows; the angle on the other side of the new line is 147°.
- 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 6.49 inches (about 6 1/2″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 33°, because tan 33° ≈ 0.6494.
Where you see 147° angles
- The Earth turns 147° on its axis in about 9 h 48 min.
- Obtuse angles like 147° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
147° angle FAQ
What type of angle is 147°?
A 147° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 147°?
The supplement of 147° is 33°, because 147° + 33° = 180°. A 147° angle has no complement, because it is already larger than 90°.
How many radians is 147 degrees?
147° = 49π/60 radians ≈ 2.5656 rad. To convert degrees to radians, multiply by π/180: 147 × π/180 = 49π/60.
How do I measure a 147° angle on my screen?
Open the online protractor with 147° preset, or type 147 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
