TeXipedia

measuredangle

Denotes a measured angle in geometric diagrams and mathematical expressions, indicating an angle that has been explicitly measured or calculated.

Overview

Essential in geometric proofs, mathematical constructions, and trigonometric applications where specific angle measurements need to be clearly indicated. Commonly used in:

  • Elementary geometry for marking measured angles in triangles and polygons
  • Trigonometry problems involving angle calculations
  • Mathematical diagrams where distinguishing between general and measured angles is important
  • Educational materials to clearly indicate which angles have known measurements

Examples

Marking a measured angle in a triangle.

△ABC has ∡ABC=60∘\triangle ABC \text{ has } \measuredangle ABC = 60^\circ 
\triangle ABC \text{ has } \measuredangle ABC = 60^\circ

Specifying multiple measured angles in a geometric construction.

∡AOB=∡COD=45∘\measuredangle AOB = \measuredangle COD = 45^\circ 
\measuredangle AOB = \measuredangle COD = 45^\circ

Describing angle relationships in a circle.

If ∡ABC is inscribed in a semicircle, then ∡ABC=90∘\text{If } \measuredangle ABC \text{ is inscribed in a semicircle, then } \measuredangle ABC = 90^\circ 
\text{If } \measuredangle ABC \text{ is inscribed in a semicircle, then } \measuredangle ABC = 90^\circ