Mastering Obtuse Angles: Definition, Identification, and Applications in Math, Engineering and Trigonometry

Obtuse Angle

Any angle larger than 90 degrees (91° to 360°)

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. It is formed when two rays originate from the same point, intersect, and create an angle that opens up beyond a right angle (90 degrees).

One way to identify an obtuse angle is to draw a line perpendicular to one of the rays that form the angle. If the other ray falls on the other side of the line, then the angle is obtuse. Another way is to use a protractor to measure the angle.

Examples of obtuse angles include a door that opens wider than 90 degrees, the corners of a rectangular prism, or a V shape of wings in a bird or airplane silhouette.

Obtuse angles have several applications, including in geometry, trigonometry, and engineering. For example, architects and engineers use obtuse angles to design and construct buildings and bridges with enough support to withstand external forces. In trigonometry, obtuse angles are used to find the sine, cosine, and tangent functions of angles that are greater than 90 degrees.

More Answers:
Exploring the Importance and Properties of Acute Angles in Geometry and Trigonometry
Understanding Intersecting Lines and their Properties in Math: Congruent Angles, Supplementary Angles, and More
The Definition, Properties, and Applications of Straight Angles in Math and Everyday Life

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