Obtuse Angle: Definition, Degree, Examples

The word “obtuse” is often used to describe someone who is not the sharpest tool in the shed. But in geometry, an obtuse angle is simply an angle measuring more than 90 degrees but less than 180 degrees. An obtuse angle can be either acute or right. It just depends on how you look at it. If you bisect an obtuse angle, you will create two congruent acute angles. And if you extended the line segments of an obtuse angle, you would eventually create a straight line- which would give you a 180-degree angle. In this blog post, we will explore the definition of an obtuse angle, its degree, and some examples.

What is an Obtuse Angle?

An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees. The term “obtuse” comes from the Latin word for “blunt,” which is fitting because an obtuse angle is wider than a acute angle, which is sharper.

There are two types of angles: acute angles and obtuse angles. An acute angle is less than 90 degrees, while an obtuse angle is more than 90 degrees but less than 180 degrees. (Angles that are exactly 90 or 180 degrees are called right angles or straight angles, respectively.) So, an obtuse angle is simply any angle that falls between these two extremes.

One way to think of an obtuse angle is as a “rounded” corner. Imagine a piece of paper folded in half; the crease would be a line with a 90-degree angle. Now imagine folding the paper again so that the edges meet but don’t quite line up; this crease would form an obtuse angle.

Obtuse angles are relatively common in nature; for example, the human elbow joint forms an obtuse angle. But in geometry, especially when working with polygons, acute angles are much more prevalent since it’s easier to create shapes with mostly acute angles than it is to create shapes with obtuse angles.

What does an obtuse angle look like?

An obtuse angle is an angle with a measure greater than 90° and less than 180°. It is the opposite of an acute angle. Obtuse angles are sometimes called “blunt” angles because they appear to be less sharp than acute angles.

An obtuse angle can be formed by two straight lines that meet at a point, but the lines do not intersect (they are said to be “skew”). The point where the lines meet is called the vertex of the angle. The two lines that form the angle are called the sides of the angle.

The degree of an obtuse angle is measured in degrees, just like any other angle. The symbol for degree is a small circle °. So, if you see an angle represented as 45°, it means that theangle has a measure of 45 degrees.

Examples of obtuse angles include: 135°, 150°, 160°

Obtuse Angle Degree

An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees. It is considered a type of acute angle. The degree of an obtuse angle is the amount of space between the two lines that form the angle. The most common way to measure angles is in degrees, with a full circle being 360 degrees.

How To Construct An Obtuse Angle?

An obtuse angle is an angle measuring more than 90 degrees and less than 180 degrees. It is considered to be a type of reflex angle.

There are a few different ways that you can construct an obtuse angle. One way is to use a protractor to measure out the desired degree of the angle. Another way is to use a compass to draw two arcs that intersect at the desired degree of the angle.

If you want to construct an obtuse angle without using any instruments, you can do so by drawing two lines that meet at a point and then proceed outwards at different angles. The further apart the two lines get, the greater the degree of the angle will be.

Obtuse Angle Triangle

An obtuse angle triangle is a triangle in which one of the angles is greater than 90 degrees. The other two angles are less than 90 degrees. The sides of an obtuse angle triangle are not equal.

How to Determine If a Triangle is Obtuse?

There are a few different ways that you can determine if a triangle is obtuse. The first way is to look at the angles of the triangle. If any of the angles are greater than 90 degrees, then the triangle is obtuse. Another way to determine if a triangle is obtuse is to look at the lengths of the sides. If any of the sides are longer than the other two sides, then the triangle is obtuse. You can also use the Pythagorean theorem to determine if a triangle is obtuse. If the length of any side is greater than the sum of the other two sides, then the triangle is obtuse.

Example Questions on Obtuse Angles

An obtuse angle is an angle measuring more than 90 degrees and less than 180 degrees. An example of an obtuse angle is a 100-degree angle.

There are several types of questions that you might be asked about obtuse angles in mathematics class or on standardized tests. One type of question might ask you to identify whether a given angle is obtuse, right, or acute. Another type of question might ask you to find the measure of an obtuse angle. Here are some sample questions that illustrate these concepts:

1. Which of the following angles is obtuse?

a) 45 degrees
b) 90 degrees
c) 135 degrees

Conclusion

An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees. An obtuse angle is also called a reflex angle. A reflex angle is formed when the arms of an angle point in opposite directions.

The degree of an obtuse angle is between 91 and 179 degrees. The most common example of an obtuse angle is a right angle. A right angle has a degree of 90 degrees.

Some other examples of obtuse angles include:

135 degree angle
145 degree angle
155 degree angle