At 130°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 50°, so a 130° angle and a 50° angle side by side make a straight line.
130° is 13/36 of a full circle, or 13π/18 radians. If you face north and turn 130° clockwise, you end up facing between ESE and SE (closest to southeast (SE)).
130° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 50° |
| Explement (adds to 360°) | 230° |
| Radians | 13π/18 ≈ 2.268928 |
| Gradians | 144.4444 grad |
| Fraction of a turn | 13/36 (36.11%) |
| Degrees, minutes, seconds | 130° 0′ 0″ |
| Compass bearing | between ESE and SE (closest to southeast (SE)) |
Trigonometric values of 130°
| Function | Value |
|---|---|
| sin 130° | 0.766044 |
| cos 130° | −0.642788 |
| tan 130° | −1.191754 |
130° on a protractor
How to draw a 130° 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 130° 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 130°.
Drawing it a 130° angle without a protractor (rise and run method)
- 130° = 180° − 50°. Draw a straight line, pick a vertex on it, and build a 50° angle on one side as follows; the angle on the other side of the new line is 130°.
- Draw a straight baseline and measure 8.39 inches (about 8 3/8″) along it from the vertex.
- At that mark, draw a line straight up at 90° and measure exactly 10 inches up it.
- Join the top mark to the vertex. The angle at the vertex is 50°, because tan 50° ≈ 1.1918.
Where you see 130° angles
- The Earth turns 130° on its axis in about 8 h 40 min.
- Obtuse angles like 130° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
130° angle FAQ
What type of angle is 130°?
A 130° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 130°?
The supplement of 130° is 50°, because 130° + 50° = 180°. A 130° angle has no complement, because it is already larger than 90°.
How many radians is 130 degrees?
130° = 13π/18 radians ≈ 2.2689 rad. To convert degrees to radians, multiply by π/180: 130 × π/180 = 13π/18.
How do I measure a 130° angle on my screen?
Open the online protractor with 130° preset, or type 130 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
