Understanding Obtuse Angles: Definition, Measurement, and Examples in Geometry

obtuse angle

An obtuse angle is a type of angle that measures greater than 90 degrees but less than 180 degrees

An obtuse angle is a type of angle that measures greater than 90 degrees but less than 180 degrees. In other words, it is an angle that is wider than a right angle (90 degrees), but not as wide as a straight angle (180 degrees).

To illustrate, imagine a straight line. If you were to bend the line at a certain point such that the two resulting lines form an angle that is greater than 90 degrees but less than 180 degrees, that would be an obtuse angle.

In geometry, angles are usually measured using a protractor. To measure an obtuse angle, align the baseline of the protractor with one side of the angle, and then read the angle measurement where the other side of the angle intersects the protractor.

Some examples of objects or scenarios that can involve obtuse angles include:

1. The angle formed by the two hands of a clock when the time is between 9:00 and 12:00.
2. The angle formed by the leaning of a ladder against a wall.
3. The angle formed by the branches of a tree spreading outwards.

Understanding the concept of an obtuse angle is important in geometry, as it helps in recognizing and classifying different types of angles, and it also relates to concepts like triangle classification and the properties of polygons.

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