A 134° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 46°, so a 134° angle and a 46° angle side by side make a straight line.
134° is 67/180 of a full circle, or 67π/90 radians. If you face north and turn 134° clockwise, you end up facing between ESE and SE (closest to southeast (SE)).
134° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 46° |
| Explement (adds to 360°) | 226° |
| Radians | 67π/90 ≈ 2.338741 |
| Gradians | 148.8889 grad |
| Fraction of a turn | 67/180 (37.22%) |
| Degrees, minutes, seconds | 134° 0′ 0″ |
| Compass bearing | between ESE and SE (closest to southeast (SE)) |
Trigonometric values of 134°
| Function | Value |
|---|---|
| sin 134° | 0.71934 |
| cos 134° | −0.694658 |
| tan 134° | −1.03553 |
134° on a protractor
How to draw a 134° 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 134° 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 134°.
Drawing it a 134° angle without a protractor (rise and run method)
- 134° = 180° − 46°. Draw a straight line, pick a vertex on it, and build a 46° angle on one side as follows; the angle on the other side of the new line is 134°.
- Draw a straight baseline and measure 9.66 inches (about 9 11/16″) 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 46°, because tan 46° ≈ 1.0355.
Where you see 134° angles
- The Earth turns 134° on its axis in about 8 h 56 min.
- Obtuse angles like 134° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
134° angle FAQ
What type of angle is 134°?
A 134° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 134°?
The supplement of 134° is 46°, because 134° + 46° = 180°. A 134° angle has no complement, because it is already larger than 90°.
How many radians is 134 degrees?
134° = 67π/90 radians ≈ 2.3387 rad. To convert degrees to radians, multiply by π/180: 134 × π/180 = 67π/90.
How do I measure a 134° angle on my screen?
Open the online protractor with 134° preset, or type 134 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
