Obtuse Angles: Definition, Measurement, And Real-World Applications

obtuse angle

a triangle with one angle that is > 90 degrees

An obtuse angle is any angle that measures greater than 90 degrees (but less than 180 degrees) when it is formed by two rays that originate from the same endpoint. In simple words, it is an angle that is wider than a right angle, which is 90 degrees. An obtuse angle is always greater than 90 degrees, but less than 180 degrees. An angle that measures exactly 180 degrees is called a straight angle, and an angle that measures less than 90 degrees is called an acute angle.

In geometry, angles are classified into three categories based on their measurements: acute, right, or obtuse. An obtuse angle is often found in real-world situations, such as two sides of a triangle that are not perpendicular, a gate that is left open wider than 90 degrees, or the intersection of two edges in a polyhedron that are more than 90 degrees.

To measure an angle, a protractor is often used. The protractor has two arms, one of which is stationary, while the other rotates to line up with the angle’s sides to measure the angle’s degree. Understanding the concept of obtuse angles is crucial in geometry, and it will help you in solving problems related to triangles, polygons, and many other geometric shapes.

More Answers:
Discovering The Obtuse Triangle Inequality And Its Role In Identifying Obtuse Triangles
Acute Triangles: Properties, Angles, And Side Lengths Explained
Master The Pythagorean Theorem: A Fundamental Rule In Mathematics For Engineering, Physics, And Architecture

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