Properties of a Triangle's Angles
Learning key properties relating to the angles of a triangle.
Core concept
This property can be demonstrated practically by tearing off the three corners of a paper triangle and arranging them together — they will always form a straight line (180°). This angle sum property is essential for solving many geometry problems, verifying whether a triangle's angles are correctly measured, and forms the basis for angle-related properties in other polygons, since any polygon can be divided into triangles to calculate its total angle sum.
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Quick notes
• The sum of the angles in any triangle is always 180°.
• This can be demonstrated by tearing a paper triangle's corners and arranging them into a straight line.
• The third angle can be found by subtracting the sum of the other two from 180°.
• This property forms the basis for finding angle sums in other polygons.