Inequalities with angles

Inequalities with angles are statements comparing the sizes of angles in geometric figures, often triangles. For example, in any triangle, the largest angle is opposite the longest side. Such inequalities help us understand relationships between angles and sides.

Important properties

• In a triangle, the sum of the angles is always 180°.

• The largest angle in a triangle is opposite the longest side, and the smallest angle is opposite the shortest side.

• If two sides of a triangle are equal, their opposite angles are equal.

• The triangle inequality for angles: In any triangle, each angle is less than 180° and greater than 0°.