obtuse angle
An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees
An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. It is characterized by its openness and wide spread. Imagine a door opening beyond a right angle, and you have an idea of what an obtuse angle looks like.
To better understand obtuse angles, it is helpful to know about different types of angles:
1. Right Angle: A right angle exactly measures 90 degrees and forms a perfect “L” shape.
2. Acute Angle: An acute angle measures less than 90 degrees and is considered “sharp” or “small” in comparison to a right angle.
3. Obtuse Angle: An obtuse angle measures between 90 and 180 degrees. It is larger than a right angle but smaller than a straight angle (180 degrees) or a reflex angle (greater than 180 degrees).
To identify an obtuse angle, you can use a protractor or rely on visual estimation. Here’s how:
1. Using a Protractor: Align the center of the protractor with the vertex of the angle. Read the measurement on the protractor scale to determine the angle’s value. If the measurement falls between 90 and 180 degrees, you have an obtuse angle.
2. Visual Estimation: If you don’t have a protractor available, you can visually estimate the angle. Begin by identifying the vertex of the angle (the point where the two lines meet) and ensure that the angle appears wider and more open than a right angle. If it looks larger than 90 degrees but less than 180 degrees, it is an obtuse angle.
Examples of objects or shapes that contain obtuse angles include:
– An open book with its pages spread wider than a right angle.
– A door swinging open more than 90 degrees.
– A triangle with one angle measuring greater than 90 degrees.
To summarize, an obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. It is wider and more open than a right angle, forming an “L” shape that is greater than 90 degrees.
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