Understanding Obtuse Angles: An In-depth Explanation and Examples

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 larger than a right angle (90 degrees) but smaller than a straight angle (180 degrees).

To identify an obtuse angle, you can use a protractor or knowledge of angle classifications. If the angle opens up more than 90 degrees, it is obtuse.

Here are a few examples of obtuse angles:

1. An angle measuring 110 degrees: This angle is larger than 90 degrees but smaller than 180 degrees, making it an obtuse angle.
2. An angle measuring 135 degrees: This angle is also larger than 90 degrees but smaller than 180 degrees, so it is another example of an obtuse angle.
3. An angle measuring 150 degrees: Again, this angle falls between 90 and 180 degrees, making it an obtuse angle.

It is important to note that the sum of all angles in a triangle is always 180 degrees. Therefore, in a triangle, if one angle is obtuse, the other two angles must be acute angles (less than 90 degrees) to compensate for the larger angle.

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