Angle — 145° (Obtuse Angle) — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Angle — 145° (Obtuse Angle)

About this illustration

Two rays meeting at a vertex forming an angle of 145 degrees. Arc indicator shaded in navy between the rays. Classified as obtuse angle. For teaching geometry, angles, protractor work.

What is a 145 degree angle?

A 145 degree angle (145°) 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 145° opened between two arms meeting at a vertex.

Measure
145°
Type of angle
Obtuse angle
Supplement (adds to 180°)
35°
Reflex angle on the other side
215°
In radians
29π/36 (≈2.531)
Fraction of a full turn
29/72 of a turn
  • A 145° 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° − 145° = 35°.
  • Angles round a point add up to 360°, so the reflex angle on the other side of these arms measures 360° − 145° = 215°.
  • 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 145°.
  • In radians, 145° × π/180 = 29π/36, which is about 2.531.

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