Understanding Obtuse Angles: Definition, Examples, and Properties

obtuse angle

An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees

An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees.

To better understand obtuse angles, let’s consider a few examples.

Example 1: Imagine a triangle with one angle measuring 100 degrees, another angle measuring 40 degrees, and the remaining angle measuring 40 degrees. In this case, the angle measuring 100 degrees would be considered an obtuse angle because it is greater than 90 degrees but less than 180 degrees.

Example 2: Now, let’s consider a straight angle, which measures 180 degrees. If we divide this straight angle into two equal parts, each part would measure 90 degrees. Now, if we further increase the measure of one of these parts to, let’s say, 110 degrees, we would have an obtuse angle.

Example 3: Lastly, let’s consider a right angle, which measures exactly 90 degrees. If we increase the measure of a right angle to any value greater than 90 degrees but less than 180 degrees, we would have an obtuse angle.

In summary, an obtuse angle is any angle which measures greater than 90 degrees but less than 180 degrees.

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