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Online Protractor

Types of Angles

Complete visual reference for acute, right, obtuse, straight, reflex and full rotation angles. Click any card to visualize it on the live protractor.

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Geometry Reference Library

Types of Angles & Visual Guide

Angles are classified by their degree measurement. Click any card below to automatically load and visualize that angle directly on the interactive protractor.

0° < θ < 90°Target: 45°

Acute Angle

An angle that measures less than 90 degrees. Sharper than a square corner, commonly found in triangles, rooftop gables, and open scissors.

Everyday Examples:
  • •Slice of pizza (45°)
  • •Hands of a clock at 2:00 (60°)
  • •Rooftop truss pitch (30°–45°)
θ = 90°Target: 90°

Right Angle

An angle measuring exactly 90 degrees. Formed by two perpendicular rays, creating a perfect square corner in architecture and carpentry.

Everyday Examples:
  • •Corner of a book or sheet of paper
  • •Wall meeting a level floor
  • •Crossroads intersection
90° < θ < 180°Target: 135°

Obtuse Angle

An angle measuring greater than 90 degrees but less than 180 degrees. Wider than a right angle, typical in open laptop screens and reclining seats.

Everyday Examples:
  • •Partially opened laptop screen (115°)
  • •Reclining deck chair (120°)
  • •Hands of a clock at 5:00 (150°)
θ = 180°Target: 180°

Straight Angle

An angle measuring exactly 180 degrees. The two arms point in directly opposite directions, forming a continuous straight line.

Everyday Examples:
  • •Flat horizon line
  • •Hands of a clock at 6:00
  • •Straight horizontal ruler
180° < θ < 360°Target: 240°

Reflex Angle

An angle that measures more than 180 degrees and less than 360 degrees. Represents the larger outer rotation around an angle vertex.

Everyday Examples:
  • •Clock hands at 8:00 (external angle 240°)
  • •Wide-open compass divider
  • •Corner of an L-shaped room exterior
θ = 360°Target: 360°

Full Rotation

A complete circular rotation around a point returning to the baseline ray, equal to 360 degrees or 2π radians.

Everyday Examples:
  • •One full turn of a wheel or gear
  • •Clock hands completing 12 hours
  • •Full circle navigation bearing