Obtuse Angles In Geometry And Triangles

obtuse angle

An angle that measures more than 90 degrees but less than 180 degrees

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In other words, an angle whose measure is greater than a right angle but less than a straight angle is known as an obtuse angle.

In geometric terms, an obtuse angle is formed when two lines or line segments intersect in such a way that the angle formed between the two lines is greater than 90 degrees.

For example, an angle measuring 120 degrees is an obtuse angle because it is greater than a right angle, which measures 90 degrees, but less than a straight angle, which measures 180 degrees.

Obtuse angles are commonly found in triangles, where one angle is greater than 90 degrees. These triangles are called obtuse triangles. In contrast, a triangle whose angles are all less than 90 degrees is called an acute triangle, and a triangle whose angles add up to exactly 180 degrees is called a right triangle.

In summary, an obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees and is commonly found in triangles.

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