Angle — 65° (Acute Angle) — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Angle — 65° (Acute Angle)

About this illustration

Two rays meeting at a vertex forming an angle of 65 degrees. Arc indicator shaded in navy between the rays. Classified as acute angle. For teaching geometry, angles, protractor work.

What is a 65 degree angle?

A 65 degree angle (65°) is an acute angle — it measures less than 90°, so the opening is narrower than a square corner. This diagram shows 65° opened between two arms meeting at a vertex.

Measure
65°
Type of angle
Acute angle
Complement (adds to 90°)
25°
Supplement (adds to 180°)
115°
Reflex angle on the other side
295°
In radians
13π/36 (≈1.134)
Fraction of a full turn
13/72 of a turn
  • A 65° angle is an acute angle because it measures less than 90°, so the opening is narrower than a square corner.
  • Angles on a straight line add up to 180°, so the angle next to this one measures 180° − 65° = 115°.
  • Two angles that add up to 90° are complementary, so the complement of 65° is 90° − 65° = 25°.
  • Angles round a point add up to 360°, so the reflex angle on the other side of these arms measures 360° − 65° = 295°.
  • 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 65°.
  • In radians, 65° × π/180 = 13π/36, which is about 1.134.

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