Angle — 75° (Acute Angle) — free printable diagram

What is a 75 degree angle?

A 75 degree angle (75°) is an acute angle — it measures less than 90°, so the opening is narrower than a square corner. This diagram shows 75° opened between two arms meeting at a vertex.

Measure

75°

Type of angle

Acute angle

Complement (adds to 90°)

15°

Supplement (adds to 180°)

105°

Reflex angle on the other side

285°

In radians

5π/12 (≈1.309)

Fraction of a full turn

5/24 of a turn

• A 75° 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° − 75° = 105°.
• Two angles that add up to 90° are complementary, so the complement of 75° is 90° − 75° = 15°.
• Angles round a point add up to 360°, so the reflex angle on the other side of these arms measures 360° − 75° = 285°.
• 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 75°.
• In radians, 75° × π/180 = 5π/12, which is about 1.309.