Angle — 175° (Obtuse Angle) — free printable diagram

What is a 175 degree angle?

A 175 degree angle (175°) 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 175° opened between two arms meeting at a vertex.

Measure

175°

Type of angle

Obtuse angle

Supplement (adds to 180°)

5°

Reflex angle on the other side

185°

In radians

35π/36 (≈3.054)

Fraction of a full turn

35/72 of a turn

• A 175° 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° − 175° = 5°.
• Angles round a point add up to 360°, so the reflex angle on the other side of these arms measures 360° − 175° = 185°.
• 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 175°.
• In radians, 175° × π/180 = 35π/36, which is about 3.054.