A 95° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 85°, so a 95° angle and an 85° angle side by side make a straight line.
95° is 19/72 of a full circle, or 19π/36 radians. If you face north and turn 95° clockwise, you end up facing between E and ESE (closest to east (E)).
95° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 85° |
| Explement (adds to 360°) | 265° |
| Radians | 19π/36 ≈ 1.658063 |
| Gradians | 105.5556 grad |
| Fraction of a turn | 19/72 (26.39%) |
| Degrees, minutes, seconds | 95° 0′ 0″ |
| Compass bearing | between E and ESE (closest to east (E)) |
Trigonometric values of 95°
| Function | Value |
|---|---|
| sin 95° | 0.996195 |
| cos 95° | −0.087156 |
| tan 95° | −11.430052 |
95° on a protractor
How to draw a 95° 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 95° 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 95°.
Drawing it a 95° angle without a protractor (rise and run method)
- 95° = 180° − 85°. Draw a straight line, pick a vertex on it, and build an 85° angle on one side as follows; the angle on the other side of the new line is 95°.
- Draw a straight baseline and measure 0.87 inches (about 7/8″) 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 85°, because tan 85° ≈ 11.4301.
Where you see 95° angles
- The Earth turns 95° on its axis in about 6 h 20 min.
- Obtuse angles like 95° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
95° angle FAQ
What type of angle is 95°?
A 95° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 95°?
The supplement of 95° is 85°, because 95° + 85° = 180°. A 95° angle has no complement, because it is already larger than 90°.
How many radians is 95 degrees?
95° = 19π/36 radians ≈ 1.6581 rad. To convert degrees to radians, multiply by π/180: 95 × π/180 = 19π/36.
How do I measure a 95° angle on my screen?
Open the online protractor with 95° preset, or type 95 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
