external angle
- noun
- /ɪkˈstɜrnəl ˈæŋɡəl/
- Specialized
- The sum of all the external angles of a polygon is always 360 degrees.
Examples
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To find the external angle of a regular pentagon, divide 360 by 5.
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Each external angle in an equilateral triangle measures 120 degrees.
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The external angle measures 120 degrees.
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Can you find the external angle of this triangle?
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Each external angle in an equilateral triangle is formed when one side is extended and measures 120 degrees.
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The sum of all external angles in any polygon adds up to 360 degrees, regardless of the number of sides.
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To calculate the external angle of a regular pentagon, you simply divide 360 degrees by the number of sides, which is 5.
Synonyms
An angle outside a shape with straight sides made by a side and the next side extended
How Internal
- Specialized
- Specialized
Surface Forms
Morphology
The meaning 'an angle formed outside a polygon' is directly and compositionally derived from 'external' (outside) + 'angle' (the measure between two lines). This adjective+noun combination follows standard semantic composition and is cross-linguistically transparent, so a B1 learner who knows both constituents would readily infer the meaning.
Etymology
The term external angle names the angle you see on the 'outside' of a shape when one side is extended. The word external points to 'outside' and angle means a corner or turn, so the phrase means the 'outside' turn at a corner and we use it to describe how much you turn when you go around a polygon.