Understanding Obtuse Angles | A Comprehensive Guide to Math Terminology and Applications

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In mathematics, the term “obtuse” is commonly used to describe an angle

In mathematics, the term “obtuse” is commonly used to describe an angle. An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In other words, it is an angle that is more open or “wider” than a right angle (which measures exactly 90 degrees) but is less than a straight angle (which measures 180 degrees).

To visualize an obtuse angle, imagine a clock face. If you draw a line between the 12 o’clock and 6 o’clock positions, you would have a straight angle. If you draw a line between the 12 o’clock and 3 o’clock positions, you would have a right angle. Now, if you draw a line between the 12 o’clock and any position between 3 o’clock and 6 o’clock, you would have an obtuse angle.

It is worth noting that the term “obtuse” can also be used to describe other objects in mathematics, such as an obtuse triangle. In this case, an obtuse triangle is a triangle that has one angle greater than 90 degrees.

When solving problems or working with angles, understanding the properties of obtuse angles can be important. For example, in geometry, you might encounter questions about measuring or classifying angles, finding complementary or supplementary angles, or determining the sum of angles in a polygon, and recognizing and identifying obtuse angles can play a crucial role in solving these problems.

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