Understanding Obtuse Angles: Explained with Visual Examples

obtuse angle

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

An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees. To understand this concept further, let’s look at a visual representation.

Consider a straight line. If we divide this line into two equal parts, forming an angle, the resulting angle would be a right angle, which measures exactly 90 degrees.

Now, if we continue to rotate one of the lines further, away from the right angle, we would form an obtuse angle. This angle would be wider, or larger, than the right angle. The angle can open up to its maximum measure, which is 180 degrees, or half of a full rotation.

Here’s an example to help you visualize an obtuse angle:

—– ———————–
| *
| * \
| * \
——-*——————–*—————————
obtuse angle

In this example, the line on the left represents the initial line, and we rotate the line on the right to create an angle. The angle marked with “*” is an obtuse angle because it is wider than a right angle.

It is important to note that an obtuse angle cannot be greater than 180 degrees because that would make it a straight angle, which is a completely straight line without any bend.

I hope this explanation helps you understand what an obtuse angle is. If you have any further questions or need more clarification, feel free to ask!

More Answers:

Understanding Isosceles Triangles: Properties and Example Problem with Solutions
Understanding the Characteristics and Properties of a Scalene Triangle: Side Lengths, Angle Measurements, Area, and Congruence
Understanding Acute Triangles: Measures, Determination, and Properties

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