An acute angle is an angle that measures less than 90°. Learn how to identify acute angles in geometry, real life, and polygons with examples and FAQs. An acute angle is an angle which measures less than 90 degrees. Learn acute angle properties, examples, different polygons, degree measures, and solved examples Parts of an Angle The corner point of an angle is called the vertex And the two straight sides are called arms The angle is the amount of turn between each arm. How to Label Angles There are two main ways to label angles: 1. give the angle a name, usually a lower-case letter like a or b, or sometimes a Greek letter like α (alpha) or θ (theta) 2. or by the three letters on the shape that define the angle, with the middle letter being where the angle actually is (its vertex). Example angle ... In degrees, an acute angle 𝛼 has a measure between 0 and 9 0 degrees. In radians, the measure of alpha is between 0 and 𝜋 2 radians. An easy mnemonic for remembering the definition of acute in English stems from the common use of the word “cute” to describe something small, like a puppy. Consequently, acute angles are small angles. Acute Triangle All triangles have at least two acute angles. This is because a triangle with two right angles has a third angle with a measure of 0, so ...