Obtuse Angle- Examples, Degree, And Obtuse Angle Triangle
An obtuse angle is an angle that is greater than 90 degrees and less than 180 degrees. In other words, it is an angle between a right angle and a straight angle. Obtuse angles are named after the Latin word obtusus, which means “blunted” or “stupefied”.
Other types of angles include acute angles, which measure less than 90 degrees, reflex angles, which measure greater than 180 degrees but less than 360 degrees, straight angles, which measure exactly 180 degrees, and full angles, which measure exactly 360 degrees. These angles have unique properties and use in geometry and other fields.
In this article, we will discuss the obtuse angle, examples, degree, and triangle, which will be very helpful for you.
|1. An obtuse angle measures more than 90 degrees but less than 180 degrees and is wider than a right angle.|
2. It gets its name from the Latin word obtusus, meaning “blunted” or “stupefied”.
3. Examples of obtuse angles include 165°, 135°, 110°, 179°, and 91°.
4. In a triangle, if one of its angles is greater than 90 degrees, the triangle is called an obtuse triangle and the side opposite the obtuse angle is always the longest.
5. In an obtuse-angled triangle, the sum of the squares of the two shorter sides is always less than the square of the longest side.
6. Real-life examples of obtuse angles include the angle between the hour and minute hand of a clock at 4 o’clock, the angle between the base of an open laptop and its screen, and the angles formed by the blades of a ceiling fan.
- Examples of Obtuse Angle
- Obtuse Angle Degree
- Obtuse Angle Triangle
- Real-Life Example of Obtuse Angle
- Acute and Obtuse Angle
- Frequently Asked Question-FAQs
Examples of Obtuse Angle
Examples of obtuse angles are given below.
Obtuse Angle Degree
An angle that measures less than 180 degrees but more than 90 degrees is classified as an obtuse angle. Some examples of obtuse angles would be 165°, 135°, 110°, 179°, 91°, and so on.
So basically, if the degree of an angle is anywhere within the range of 90° to 180° then it can be classified as an obtuse angle.
Obtuse Angle Triangle
A triangle is considered obtuse when one of its angles is greater than 90 degrees. Obtuse triangles can be either isosceles or scalene, but never equilateral since an equilateral triangle contains three angles that are each 60 degrees, making the total angle sum 180 degrees – which means there can be no angles greater than 90 degrees.
The side opposite the obtuse angle in a triangle is always the longest side of that triangle. Additionally, a triangle can never be both a right angle and an obtuse angle simultaneously – this is due to the angle sum property of triangles which states that the sum of a triangle’s angles must equal 180 degrees.
If one of the angles of a triangle is obtuse, then the other two angles of the triangle must be acute angles.
The triangle above has one angle that is greater than 90° and as a result, they are classified as obtuse-angled or obtuse triangles. In an obtuse-angled triangle, the sum of the squares of the two shorter sides is always less than the square of the longest side.
For example, in ΔABC where the sides measure a, b, and c with c being the longest side, we would have a2 + b2 < c2. Put another way, if in any triangle, a2 + b2 < c2, then that triangle is considered an obtuse triangle.
Real-Life Example of Obtuse Angle
Here are some examples of obtuse angles that you might see in real life:
- The angle between the hour and minute hand of a clock at 4 o’clock.
- The angle between the base of an open laptop and its screen.
- Angles are formed by the blades of a ceiling fan.
Acute and Obtuse Angle
There are different types of angles based on measurement. Acute angles measure less than 90 degrees, while obtuse angles measure greater than 90° but less than 180°. See the image below for examples of acute and obtuse angles, followed by their difference.
All angles that measure more than 90° and less than 180° are classified as obtuse angles. In an obtuse angle triangle, the sum of the squares of the two shorter sides is always less than the square of the longest side.
Frequently Asked Question-FAQs
What is the shape of an obtuse angle?
An obtuse angle is one that measures greater than 90°. We can see plenty of examples of obtuse angles in everyday life, such as the hangar used to store clothes in a cupboard, the hour and minute hand of a clock at 4 o’clock, and so on.
What is a zero angle?
When two rays meet or cross each other at a point, they form an angle. If the angle between the two rays is 0°, then it is called a zero angle.
How do you Draw an Obtuse Angle?
An obtuse angle is any angle greater than 90° but less than 180°. You can use a protractor to measure any angle between 90° and 180° to see if it’s obtuse.
What are the Properties of Obtuse Angles?
Obtuse angles are those that measure between 90 and 180 degrees. They are larger than a right angle but smaller than a straight angle.
What is the Obtuse Angle Triangle?
An obtuse-angled triangle is a triangle with one obtuse angle and two acute angles. The sum of all three interior angles will be 180 degrees.
How many Degrees is an Obtuse Angle?
The measurement of an obtuse angle always falls between 90 and 180 degrees.