Angle — 115° (Obtuse Angle) — free printable diagram

What is a 115 degree angle?

A 115 degree angle (115°) is an obtuse angle — it measures more than 90° but less than 180°, so the opening is wider than a square corner but has not yet opened into a straight line. This diagram shows 115° opened between two arms meeting at a vertex.

Measure

115°

Type of angle

Obtuse angle

Supplement (adds to 180°)

65°

Reflex angle on the other side

245°

In radians

23π/36 (≈2.007)

Fraction of a full turn

23/72 of a turn

• A 115° angle is an obtuse angle because it measures more than 90° but less than 180°, so the opening is wider than a square corner but has not yet opened into a straight line.
• Angles on a straight line add up to 180°, so the angle next to this one measures 180° − 115° = 65°.
• Angles round a point add up to 360°, so the reflex angle on the other side of these arms measures 360° − 115° = 245°.
• To measure or draw it, put the centre of the protractor on the vertex where the two arms meet, line one arm up with the 0° mark, and read the scale that starts at 0° on that arm until you reach 115°.
• In radians, 115° × π/180 = 23π/36, which is about 2.007.