What is a 60 Degree Angle?

A 60-degree angle is a type of angle that measures 60°. This measurement is one-sixth of a full rotation around a point, as a full circle is 360 degrees.

In geometry, a 60° angle is significant for several reasons:

• Equilateral Triangle: Each interior angle of an equilateral triangle measures 60°, since all three angles sum up to 180° and are equal.
• Regular Hexagon: The interior angles of a regular hexagon, formed by joining the vertices to the center, are also 60°.

Note: In radians, 60° angle is expressed as π/3.

Properties of a 60 Degree Angle

Some of the common properties and characteristics of 60° angle are:

• A 60° angle measures 60°, which is one-sixth of a full rotation or one-third of a straight angle.
• 60° angle is complementary to a 30° angle (60° + 30° = 90°).
• A 60° angle is supplementary to a 120° angle (60° + 120° = 180°).
• In an equilateral triangle, each interior angle measures 60°.
• In a regular hexagon, each interior angle measures 120°, and each exterior angle measures 60 degrees.
• In trigonometry, the sine, cosine, and tangent of a 60° angle have specific values.
  • The sine of 60° is √3/2, the cosine of 60° is 1/2, and the tangent of 60° is √3.
• A 60-degree angle is a key angle in special right triangles.
  • For example, in a 30-60-90 triangle, one of the angles measures 60 degrees.
  • In a 45-45-90 triangle, both angles measure 45 degrees, making the third angle, which is complementary to both, equal to 90 degrees.
• The angle bisector of a 60° angle divides it into two equal angles, each measuring 30°.

An angle is a form of geometrical shape constructed by joining two rays to each other at their endpoints. The two lines joined together are called the arms of the angle.

A 60-degree angle is a basic and important concept in geometry. It is one-sixth of a full circle, which measures 360 degrees. In this article, we will be discussing the 60° angle and everything about it.