Angle — 130° (Obtuse Angle) — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Angle — 130° (Obtuse Angle)

About this illustration

Two rays meeting at a vertex forming an angle of 130 degrees. Arc indicator shaded in navy between the rays. Classified as obtuse angle. For teaching geometry, angles, protractor work.

What is a 130 degree angle?

A 130 degree angle (130°) 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 130° opened between two arms meeting at a vertex.

Measure
130°
Type of angle
Obtuse angle
Supplement (adds to 180°)
50°
Reflex angle on the other side
230°
In radians
13π/18 (≈2.269)
Fraction of a full turn
13/36 of a turn
  • A 130° 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° − 130° = 50°.
  • Angles round a point add up to 360°, so the reflex angle on the other side of these arms measures 360° − 130° = 230°.
  • 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 130°.
  • In radians, 130° × π/180 = 13π/18, which is about 2.269.

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