Acute Angle Meaning

What is Acute Angle:

The acute angle is the space between two lines that share the same vertex whose inclination or opening is greater than 0 degrees (0 °) and less than 90 degrees (90 °).

In geometry, it is important to know how to identify acute angles since being visually less than 90 ° (a quarter of a circle), an approximate visual identification of the type of angles within a triangle or within a plane is made easier.

Acute angles can be found, for example, in equilateral triangles since they are precisely characterized by being composed of three acute angles, that is, three angles of less than 60 °.

In trigonometry, the science that studies the relationship of the elements of a right triangle, acute angles can be identified taking into account:

  • The sum of the interior angles of a triangle add up to 180 °,
  • the right triangle is made up of a 90 ° angle, therefore the other two angles must add up to 90 ° (complementary angles),
  • If two angles add up to 90 °, then they are both acute angles.

Types of angles

The basic types of angles for the knowledge of geometry and trigonometry are the following:

  • Acute Angle: Angles that measure less than 90 °.
  • Obtuse angle: angles that measure more than 90 °.
  • Right Angle: Angle that measures 90 °.
  • Plain Angle: Angle that measures 180 °.
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