Acute Angles In Geometry: Properties And Uses In Trigonometry

Acute Angle

An angle with a measure greater than 0 degrees and less than 90 degrees.

An acute angle is an angle that measures between 0 and 90 degrees. In other words, it is an angle that is less than a right angle but greater than a zero angle. The word acute comes from the Latin word acutus, meaning sharp.

To visualize an acute angle, think of a triangle with one of the angles smaller than 90 degrees. For example, in a right triangle, the two acute angles are opposite each other from the right angle.

Acute angles have several properties that make them useful in geometry. For instance:

– The sum of two acute angles is always an acute angle.
– If two lines intersect, the angles formed by the intersection are either acute or obtuse, but not right angles.
– Acute angles are used to define trigonometric functions such as sine, cosine, and tangent.

More Answers:
Mastering Alternate Exterior Angles: Importance And Properties Explained
Mastering Geometry With Congruent Alternate Interior Angles: Properties, Applications, And More!
Adjacent Angles: Complementary And Supplementary Examples

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